Relational topology:
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Neubiberg
Univ. der Bundeswehr München, Fak. für Informatik
2014
|
Schriftenreihe: | Bericht / Universität der Bundeswehr München, Fakultät für Informatik
2014,3 |
Schlagworte: | |
Online-Zugang: | Volltext Inhaltsverzeichnis |
Beschreibung: | 76 S. |
Internformat
MARC
LEADER | 00000nam a2200000 cb4500 | ||
---|---|---|---|
001 | BV042278878 | ||
003 | DE-604 | ||
005 | 20201218 | ||
007 | t | ||
008 | 150120s2014 |||| 00||| eng d | ||
035 | |a (OCoLC)900637614 | ||
035 | |a (DE-599)BVBBV042278878 | ||
040 | |a DE-604 |b ger |e rakwb | ||
041 | 0 | |a eng | |
049 | |a DE-706 |a DE-12 |a DE-91G | ||
100 | 1 | |a Schmidt, Gunther |d 1939- |e Verfasser |0 (DE-588)12940893X |4 aut | |
245 | 1 | 0 | |a Relational topology |c Gunther Schmidt ; Michael Winter |
264 | 1 | |a Neubiberg |b Univ. der Bundeswehr München, Fak. für Informatik |c 2014 | |
300 | |a 76 S. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a Bericht / Universität der Bundeswehr München, Fakultät für Informatik |v 2014,3 | |
650 | 0 | 7 | |a Algebraische Methode |0 (DE-588)4141841-4 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Relationenalgebra |0 (DE-588)4206494-6 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Topologie |0 (DE-588)4060425-1 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Topologie |0 (DE-588)4060425-1 |D s |
689 | 0 | 1 | |a Relationenalgebra |0 (DE-588)4206494-6 |D s |
689 | 0 | |5 DE-604 | |
689 | 1 | 0 | |a Topologie |0 (DE-588)4060425-1 |D s |
689 | 1 | 1 | |a Algebraische Methode |0 (DE-588)4141841-4 |D s |
689 | 1 | |8 1\p |5 DE-604 | |
700 | 1 | |a Winter, Michael |e Sonstige |4 oth | |
776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |a Schmidt, Gunther, 1939- |t Relational topology |
810 | 2 | |a Universität der Bundeswehr München, Fakultät für Informatik |t Bericht |v 2014,3 |w (DE-604)BV006642330 |9 2014,3 | |
856 | 4 | 1 | |u https://athene-forschung.unibw.de/135309 |x Verlag |z kostenfrei |3 Volltext |
856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027716279&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
912 | |a ebook | ||
999 | |a oai:aleph.bib-bvb.de:BVB01-027716279 | ||
883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk |
Datensatz im Suchindex
_version_ | 1804152842491002880 |
---|---|
adam_text | 2
CONTENTS
1 INTRODUCTION 3
2 PREREQUISITES 4
2.1 PRELIMINARIES 4
2.2 POWER OPERATIONS RECALLED 5
2.3 SOME CATEGORICAL CONSIDERATIONS 7
2.4 LIFTING A BOOLEAN ALGEBRA 9
3 APPLYING RELATIONS IN TOPOLOGY 10
3.1 GENERAL PROPERTIES OF KERNEL FORMING 11
3.2 TOPOLOGY VIA NEIGHBORHOODS AND KERNEL FORMING 14
3.3 QUALIFYING A TOPOLOGY VIA ITS OPEN SETS 19
3.4 QUOTIENT TOPOLOGY 28
3.5 INNER POINTS AND TANGENT POINTS 30
3.6 SEPARATION 31
3.7 CONTINUITY 32
4 AUMANN CLOSURE, AUMANN CONTACT 35
4.1 AUMANN CONTACT RELATED TO TOPOLOGY 35
4.2 OVERVIEW AND EXAMPLES 38
5 PROXIMITY AND NEARNESS 39
5.1 PROXIMITY 40
5.2 ANOTHER PROXIMITY CONCEPT 43
5.3 NEARNESS 48
5.4 APARTNESS AND CONNECTION ALGEBRA 51
6 SIMPLICIAL COMPLEXES 56
6.1 SIMPLICES 56
6.2 ORIENTATION 57
6.3 SIMPLICIAL COMPLEXES 01
6.4 ORIENTABILITY OF A SIMPLICIAL COMPLEX 05
7 CONCLUDING REMARKS 73
BIBLIOGRAPHY 73
INDEX 76
HTTP://D-NB.INFO/1067834982
|
any_adam_object | 1 |
author | Schmidt, Gunther 1939- |
author_GND | (DE-588)12940893X |
author_facet | Schmidt, Gunther 1939- |
author_role | aut |
author_sort | Schmidt, Gunther 1939- |
author_variant | g s gs |
building | Verbundindex |
bvnumber | BV042278878 |
collection | ebook |
ctrlnum | (OCoLC)900637614 (DE-599)BVBBV042278878 |
format | Book |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01995nam a2200445 cb4500</leader><controlfield tag="001">BV042278878</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20201218 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">150120s2014 |||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)900637614</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042278878</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-706</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-91G</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Schmidt, Gunther</subfield><subfield code="d">1939-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)12940893X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Relational topology</subfield><subfield code="c">Gunther Schmidt ; Michael Winter</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Neubiberg</subfield><subfield code="b">Univ. der Bundeswehr München, Fak. für Informatik</subfield><subfield code="c">2014</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">76 S.</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">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Bericht / Universität der Bundeswehr München, Fakultät für Informatik</subfield><subfield code="v">2014,3</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebraische Methode</subfield><subfield code="0">(DE-588)4141841-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Relationenalgebra</subfield><subfield code="0">(DE-588)4206494-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Topologie</subfield><subfield code="0">(DE-588)4060425-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Topologie</subfield><subfield code="0">(DE-588)4060425-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Relationenalgebra</subfield><subfield code="0">(DE-588)4206494-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Topologie</subfield><subfield code="0">(DE-588)4060425-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Algebraische Methode</subfield><subfield code="0">(DE-588)4141841-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Winter, Michael</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="a">Schmidt, Gunther, 1939-</subfield><subfield code="t">Relational topology</subfield></datafield><datafield tag="810" ind1="2" ind2=" "><subfield code="a">Universität der Bundeswehr München, Fakultät für Informatik</subfield><subfield code="t">Bericht</subfield><subfield code="v">2014,3</subfield><subfield code="w">(DE-604)BV006642330</subfield><subfield code="9">2014,3</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://athene-forschung.unibw.de/135309</subfield><subfield code="x">Verlag</subfield><subfield code="z">kostenfrei</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</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=027716279&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ebook</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027716279</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
id | DE-604.BV042278878 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T01:17:08Z |
institution | BVB |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027716279 |
oclc_num | 900637614 |
open_access_boolean | 1 |
owner | DE-706 DE-12 DE-91G DE-BY-TUM |
owner_facet | DE-706 DE-12 DE-91G DE-BY-TUM |
physical | 76 S. |
psigel | ebook |
publishDate | 2014 |
publishDateSearch | 2014 |
publishDateSort | 2014 |
publisher | Univ. der Bundeswehr München, Fak. für Informatik |
record_format | marc |
series2 | Bericht / Universität der Bundeswehr München, Fakultät für Informatik |
spelling | Schmidt, Gunther 1939- Verfasser (DE-588)12940893X aut Relational topology Gunther Schmidt ; Michael Winter Neubiberg Univ. der Bundeswehr München, Fak. für Informatik 2014 76 S. txt rdacontent n rdamedia nc rdacarrier Bericht / Universität der Bundeswehr München, Fakultät für Informatik 2014,3 Algebraische Methode (DE-588)4141841-4 gnd rswk-swf Relationenalgebra (DE-588)4206494-6 gnd rswk-swf Topologie (DE-588)4060425-1 gnd rswk-swf Topologie (DE-588)4060425-1 s Relationenalgebra (DE-588)4206494-6 s DE-604 Algebraische Methode (DE-588)4141841-4 s 1\p DE-604 Winter, Michael Sonstige oth Erscheint auch als Online-Ausgabe Schmidt, Gunther, 1939- Relational topology Universität der Bundeswehr München, Fakultät für Informatik Bericht 2014,3 (DE-604)BV006642330 2014,3 https://athene-forschung.unibw.de/135309 Verlag kostenfrei Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027716279&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Schmidt, Gunther 1939- Relational topology Algebraische Methode (DE-588)4141841-4 gnd Relationenalgebra (DE-588)4206494-6 gnd Topologie (DE-588)4060425-1 gnd |
subject_GND | (DE-588)4141841-4 (DE-588)4206494-6 (DE-588)4060425-1 |
title | Relational topology |
title_auth | Relational topology |
title_exact_search | Relational topology |
title_full | Relational topology Gunther Schmidt ; Michael Winter |
title_fullStr | Relational topology Gunther Schmidt ; Michael Winter |
title_full_unstemmed | Relational topology Gunther Schmidt ; Michael Winter |
title_short | Relational topology |
title_sort | relational topology |
topic | Algebraische Methode (DE-588)4141841-4 gnd Relationenalgebra (DE-588)4206494-6 gnd Topologie (DE-588)4060425-1 gnd |
topic_facet | Algebraische Methode Relationenalgebra Topologie |
url | https://athene-forschung.unibw.de/135309 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027716279&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV006642330 |
work_keys_str_mv | AT schmidtgunther relationaltopology AT wintermichael relationaltopology |