Topology:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cham [u.a.]
Springer
2015
|
Schriftenreihe: | UNITEXT
91 |
Schlagworte: | |
Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
Beschreibung: | Aus dem Ital. übers. |
Beschreibung: | 1 Online-Ressource (XII, 309 S.) 72 illus |
ISBN: | 9783319169583 |
ISSN: | 2038-5714 |
DOI: | 10.1007/978-3-319-16958-3 |
Internformat
MARC
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Datensatz im Suchindex
_version_ | 1804174933406777344 |
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adam_text | TOPOLOGY
/ MANETTI, MARCO
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1 GEOMETRICAL INTRODUCTION TO TOPOLOGY
2 SETS
3 TOPOLOGICAL STRUCTURES
4 CONNECTEDNESS AND COMPACTNESS
5 TOPOLOGICAL QUOTIENTS
6 SEQUENCES
7 MANIFOLDS, INFINITE PRODUCTS AND PARACOMPACTNESS
8 MORE TOPICS IN GENERAL TOPOLOGY
9 INTERMEZZO
HOMOTOPY
10 THEFUNDAMENTAL GROUP
11 COVERING SPACES
MONODROMY
12 VAN KAMPEN S THEOREM
13 SELECTED TOPICS IN ALGEBRAIC TOPOLOGY
14 HINTS AND SOLUTIONS
15 REFERENCES
16 INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
TOPOLOGY
/ MANETTI, MARCO
: 2015
ABSTRACT / INHALTSTEXT
THIS IS AN INTRODUCTORY TEXTBOOK ON GENERAL AND ALGEBRAIC TOPOLOGY,
AIMED AT ANYONE WITH A BASIC KNOWLEDGE OF CALCULUS AND LINEAR ALGEBRA.
IT PROVIDES FULL PROOFS AND INCLUDES MANY EXAMPLES AND EXERCISES. THE
COVERED TOPICS INCLUDE:SET THEORY AND CARDINAL ARITHMETIC; AXIOM OF
CHOICE AND ZORN S LEMMA; TOPOLOGICAL SPACES AND CONTINUOUS FUNCTIONS;
CONNECTEDNESS AND COMPACTNESS; ALEXANDROV COMPACTIFICATION; QUOTIENT
TOPOLOGIES; COUNTABILITY AND SEPARATION AXIOMS; PREBASIS AND ALEXANDER S
THEOREM; THE TYCHONOFF THEOREM AND PARACOMPACTNESS; COMPLETE METRIC
SPACES AND FUNCTION SPACES; BAIRE SPACES; HOMOTOPY OF MAPS; THE
FUNDAMENTAL GROUP;THE VAN KAMPEN THEOREM;COVERING SPACES; BROUWER
ANDBORSUK S THEOREMS; FREE GROUPS AND FREE PRODUCT OF GROUPS; AND
BASIC CATEGORY THEORY. WHILE ITIS VERY CONCRETE AT THE BEGINNING,
ABSTRACT CONCEPTS ARE GRADUALLY INTRODUCED. IT IS SUITABLE FOR ANYONE
NEEDING A BASIC, COMPREHENSIVE INTRODUCTION TO GENERAL AND ALGEBRAIC
TOPOLOGY AND ITS APPLICATIONS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
any_adam_object | 1 |
author | Manetti, Marco |
author_facet | Manetti, Marco |
author_role | aut |
author_sort | Manetti, Marco |
author_variant | m m mm |
building | Verbundindex |
bvnumber | BV042725104 |
classification_rvk | SK 350 SK 300 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA |
ctrlnum | (OCoLC)913025572 (DE-599)BVBBV042725104 |
dewey-full | 514.2 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 514 - Topology |
dewey-raw | 514.2 |
dewey-search | 514.2 |
dewey-sort | 3514.2 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-3-319-16958-3 |
format | Electronic eBook |
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id | DE-604.BV042725104 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:08:16Z |
institution | BVB |
isbn | 9783319169583 |
issn | 2038-5714 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028156225 |
oclc_num | 913025572 |
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physical | 1 Online-Ressource (XII, 309 S.) 72 illus |
psigel | ZDB-2-SMA UBY_PDA_SMA ZDB-2-SMA_2015 |
publishDate | 2015 |
publishDateSearch | 2015 |
publishDateSort | 2015 |
publisher | Springer |
record_format | marc |
series | UNITEXT |
series2 | UNITEXT |
spelling | Manetti, Marco Verfasser aut Topologia Topology Marco Manetti Cham [u.a.] Springer 2015 1 Online-Ressource (XII, 309 S.) 72 illus txt rdacontent c rdamedia cr rdacarrier UNITEXT 91 2038-5714 Aus dem Ital. übers. Mathematics Algebraic topology Algebraic Topology Mathematics, general Mathematik Algebraische Topologie (DE-588)4120861-4 gnd rswk-swf Algebraische Topologie (DE-588)4120861-4 s 1\p DE-604 Erscheint auch als Druckausgabe 978-3-319-16957-6 UNITEXT 91 (DE-604)BV043645010 91 https://doi.org/10.1007/978-3-319-16958-3 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028156225&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=028156225&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Manetti, Marco Topology UNITEXT Mathematics Algebraic topology Algebraic Topology Mathematics, general Mathematik Algebraische Topologie (DE-588)4120861-4 gnd |
subject_GND | (DE-588)4120861-4 |
title | Topology |
title_alt | Topologia |
title_auth | Topology |
title_exact_search | Topology |
title_full | Topology Marco Manetti |
title_fullStr | Topology Marco Manetti |
title_full_unstemmed | Topology Marco Manetti |
title_short | Topology |
title_sort | topology |
topic | Mathematics Algebraic topology Algebraic Topology Mathematics, general Mathematik Algebraische Topologie (DE-588)4120861-4 gnd |
topic_facet | Mathematics Algebraic topology Algebraic Topology Mathematics, general Mathematik Algebraische Topologie |
url | https://doi.org/10.1007/978-3-319-16958-3 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028156225&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=028156225&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV043645010 |
work_keys_str_mv | AT manettimarco topologia AT manettimarco topology |