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Main Author:	Manetti, Marco (Author)
Format:	Electronic eBook
Language:	English
Published:	Cham [u.a.] Springer 2015
Series:	UNITEXT 91
Subjects:	Mathematics Algebraic topology Algebraic Topology Mathematics, general Mathematik Algebraische Topologie
Online Access:	BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Item Description:	Aus dem Ital. übers.
Physical Description:	1 Online-Ressource (XII, 309 S.) 72 illus
ISBN:	9783319169583
ISSN:	2038-5714
DOI:	10.1007/978-3-319-16958-3

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MARC


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Record in the Search Index

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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
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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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illustrated	Not Illustrated
indexdate	2024-07-10T07:08:16Z
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isbn	9783319169583
issn	2038-5714
language	English
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physical	1 Online-Ressource (XII, 309 S.) 72 illus
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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

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