A guide to the classification theorem for compact surfaces:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2013
|
| Series: | Geometry and computing
|
| Subjects: | |
| Online Access: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource |
| ISBN: | 9783642343636 9783642343643 |
| DOI: | 10.1007/978-3-642-34364-3 |
Staff View
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV040913795 | ||
| 003 | DE-604 | ||
| 005 | 20131030 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 130326s2013 |||| o||u| ||||||eng d | ||
| 015 | |a 13,O03 |2 dnb | ||
| 016 | 7 | |a 1030526753 |2 DE-101 | |
| 020 | |a 9783642343636 |9 978-3-642-34363-6 | ||
| 020 | |a 9783642343643 |c Online |9 978-3-642-34364-3 | ||
| 024 | 7 | |a 10.1007/978-3-642-34364-3 |2 doi | |
| 024 | 3 | |a 9783642343643 | |
| 035 | |a (OCoLC)839974159 | ||
| 035 | |a (DE-599)DNB1030526753 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-634 |a DE-20 |a DE-703 |a DE-19 |a DE-91 |a DE-739 |a DE-384 |a DE-83 | ||
| 082 | 0 | |a 514 | |
| 084 | |a SK 300 |0 (DE-625)143230: |2 rvk | ||
| 084 | |a MAT 000 |2 stub | ||
| 084 | |a 510 |2 sdnb | ||
| 100 | 1 | |a Gallier, Jean H. |d 1949- |e Verfasser |0 (DE-588)122585615 |4 aut | |
| 245 | 1 | 0 | |a A guide to the classification theorem for compact surfaces |c Jean Gallier ; Dianna Xu |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2013 | |
| 300 | |a 1 Online-Ressource | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Geometry and computing | |
| 650 | 0 | 7 | |a Algebraische Topologie |0 (DE-588)4120861-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kompakte Fläche |0 (DE-588)4412571-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Kompakte Fläche |0 (DE-588)4412571-9 |D s |
| 689 | 0 | 1 | |a Algebraische Topologie |0 (DE-588)4120861-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Xu, Dianna |e Verfasser |0 (DE-588)1031896104 |4 aut | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-642-34364-3 |x Verlag |3 Volltext |
| 856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025893074&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025893074&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Abstract |
| 912 | |a ZDB-2-SMA | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-025893074 | ||
| 966 | e | |u https://doi.org/10.1007/978-3-642-34364-3 |l BTU01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-642-34364-3 |l TUM01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-642-34364-3 |l UBA01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-642-34364-3 |l UBM01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-642-34364-3 |l UBT01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-642-34364-3 |l UBW01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-642-34364-3 |l UPA01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
Record in the Search Index
| _version_ | 1804150206024908800 |
|---|---|
| adam_text | A GUIDE TO THE CLASSIFICATION THEOREM FOR COMPACT SURFACES
/ GALLIER, JEAN
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
THE CLASSIFICATION THEOREM: INFORMAL PRESENTATION
SURFACES
SIMPLICES, COMPLEXES, AND TRIANGULATIONS
THE FUNDAMENTAL GROUP, ORIENTABILITY
HOMOLOGY GROUPS
THE CLASSIFICATION THEOREM FOR COMPACT SURFACES
VIEWING THE REAL PROJECTIVE PLANE IN R3
PROOF OF PROPOSITION 5.1
TOPOLOGICAL PRELIMINARIES
HISTORY OF THE CLASSIFICATION THEOREM
EVERY SURFACE CAN BE TRIANGULATED
NOTES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
A GUIDE TO THE CLASSIFICATION THEOREM FOR COMPACT SURFACES
/ GALLIER, JEAN
: 2013
ABSTRACT / INHALTSTEXT
THIS WELCOME BOON FOR STUDENTS OF ALGEBRAIC TOPOLOGY CUTS A MUCH-NEEDED
CENTRAL PATH BETWEEN OTHER TEXTS WHOSE TREATMENT OF THE CLASSIFICATION
THEOREM FOR COMPACT SURFACES IS EITHER TOO FORMALIZED AND COMPLEX FOR
THOSE WITHOUT DETAILED BACKGROUND KNOWLEDGE, OR TOO INFORMAL TO AFFORD
STUDENTS A COMPREHENSIVE INSIGHT INTO THE SUBJECT. ITS DEDICATED,
STUDENT-CENTRED APPROACH DETAILS A NEAR-COMPLETE PROOF OF THIS THEOREM,
WIDELY ADMIRED FOR ITS EFFICACY AND FORMAL BEAUTY. THE AUTHORS PRESENT
THE TECHNICAL TOOLS NEEDED TO DEPLOY THE METHOD EFFECTIVELY AS WELL AS
DEMONSTRATING THEIR USE IN A CLEARLY STRUCTURED, WORKED EXAMPLE. IDEAL
FOR STUDENTS WHOSE MASTERY OF ALGEBRAIC TOPOLOGY MAY BE A
WORK-IN-PROGRESS, THE TEXT INTRODUCES KEY NOTIONS SUCH AS FUNDAMENTAL
GROUPS, HOMOLOGY GROUPS, AND THE EULER-POINCARE CHARACTERISTIC. THESE
PREREQUISITES ARE THE SUBJECT OF DETAILED APPENDICES THAT ENABLE
FOCUSED, DISCRETE LEARNING WHERE IT IS REQUIRED, WITHOUT INTERRUPTING
THE CAREFULLY PLANNED STRUCTURE OF THE CORE EXPOSITION. GENTLY GUIDING
READERS THROUGH THE PRINCIPLES, THEORY, AND APPLICATIONS OF THE
CLASSIFICATION THEOREM, THE AUTHORS AIM TO FOSTER GENUINE CONFIDENCE IN
ITS USE AND IN SO DOING ENCOURAGE READERS TO MOVE ON TO A DEEPER
EXPLORATION OF THE VERSATILE AND VALUABLE TECHNIQUES AVAILABLE IN
ALGEBRAIC TOPOLOGY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Gallier, Jean H. 1949- Xu, Dianna |
| author_GND | (DE-588)122585615 (DE-588)1031896104 |
| author_facet | Gallier, Jean H. 1949- Xu, Dianna |
| author_role | aut aut |
| author_sort | Gallier, Jean H. 1949- |
| author_variant | j h g jh jhg d x dx |
| building | Verbundindex |
| bvnumber | BV040913795 |
| classification_rvk | SK 300 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)839974159 (DE-599)DNB1030526753 |
| dewey-full | 514 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514 |
| dewey-search | 514 |
| dewey-sort | 3514 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-34364-3 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02795nmm a2200577zc 4500</leader><controlfield tag="001">BV040913795</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20131030 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">130326s2013 |||| o||u| ||||||eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">13,O03</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">1030526753</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642343636</subfield><subfield code="9">978-3-642-34363-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642343643</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-642-34364-3</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-642-34364-3</subfield><subfield code="2">doi</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9783642343643</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)839974159</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB1030526753</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-634</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">514</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 300</subfield><subfield code="0">(DE-625)143230:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">510</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Gallier, Jean H.</subfield><subfield code="d">1949-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)122585615</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">A guide to the classification theorem for compact surfaces</subfield><subfield code="c">Jean Gallier ; Dianna Xu</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2013</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Geometry and computing</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebraische Topologie</subfield><subfield code="0">(DE-588)4120861-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kompakte Fläche</subfield><subfield code="0">(DE-588)4412571-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Kompakte Fläche</subfield><subfield code="0">(DE-588)4412571-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Algebraische Topologie</subfield><subfield code="0">(DE-588)4120861-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Xu, Dianna</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1031896104</subfield><subfield code="4">aut</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-642-34364-3</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025893074&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025893074&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Abstract</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-025893074</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-642-34364-3</subfield><subfield code="l">BTU01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-642-34364-3</subfield><subfield code="l">TUM01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-642-34364-3</subfield><subfield code="l">UBA01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-642-34364-3</subfield><subfield code="l">UBM01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-642-34364-3</subfield><subfield code="l">UBT01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-642-34364-3</subfield><subfield code="l">UBW01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-642-34364-3</subfield><subfield code="l">UPA01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV040913795 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:35:14Z |
| institution | BVB |
| isbn | 9783642343636 9783642343643 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025893074 |
| oclc_num | 839974159 |
| open_access_boolean | |
| owner | DE-634 DE-20 DE-703 DE-19 DE-BY-UBM DE-91 DE-BY-TUM DE-739 DE-384 DE-83 |
| owner_facet | DE-634 DE-20 DE-703 DE-19 DE-BY-UBM DE-91 DE-BY-TUM DE-739 DE-384 DE-83 |
| physical | 1 Online-Ressource |
| psigel | ZDB-2-SMA |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Springer |
| record_format | marc |
| series2 | Geometry and computing |
| spelling | Gallier, Jean H. 1949- Verfasser (DE-588)122585615 aut A guide to the classification theorem for compact surfaces Jean Gallier ; Dianna Xu Berlin [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Geometry and computing Algebraische Topologie (DE-588)4120861-4 gnd rswk-swf Kompakte Fläche (DE-588)4412571-9 gnd rswk-swf Kompakte Fläche (DE-588)4412571-9 s Algebraische Topologie (DE-588)4120861-4 s DE-604 Xu, Dianna Verfasser (DE-588)1031896104 aut https://doi.org/10.1007/978-3-642-34364-3 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025893074&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025893074&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Gallier, Jean H. 1949- Xu, Dianna A guide to the classification theorem for compact surfaces Algebraische Topologie (DE-588)4120861-4 gnd Kompakte Fläche (DE-588)4412571-9 gnd |
| subject_GND | (DE-588)4120861-4 (DE-588)4412571-9 |
| title | A guide to the classification theorem for compact surfaces |
| title_auth | A guide to the classification theorem for compact surfaces |
| title_exact_search | A guide to the classification theorem for compact surfaces |
| title_full | A guide to the classification theorem for compact surfaces Jean Gallier ; Dianna Xu |
| title_fullStr | A guide to the classification theorem for compact surfaces Jean Gallier ; Dianna Xu |
| title_full_unstemmed | A guide to the classification theorem for compact surfaces Jean Gallier ; Dianna Xu |
| title_short | A guide to the classification theorem for compact surfaces |
| title_sort | a guide to the classification theorem for compact surfaces |
| topic | Algebraische Topologie (DE-588)4120861-4 gnd Kompakte Fläche (DE-588)4412571-9 gnd |
| topic_facet | Algebraische Topologie Kompakte Fläche |
| url | https://doi.org/10.1007/978-3-642-34364-3 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025893074&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025893074&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT gallierjeanh aguidetotheclassificationtheoremforcompactsurfaces AT xudianna aguidetotheclassificationtheoremforcompactsurfaces |