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General topology:

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Bibliographic Details
Main Author:	Engelking, Ryszard (Author)
Format:	Book
Language:	English Polish
Published:	Berlin Heldermann 1989
Edition:	Rev. and completed ed.
Series:	Sigma series in pure mathematics 6
Subjects:	Dimension Espace uniforme Exercice topologie Proximité Topologie générale Topologie Topology
Online Access:	Inhaltsverzeichnis
Item Description:	Literaturverz. S. 469 - 507
Physical Description:	VIII, 529 S. Ill.
ISBN:	3885380064

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MARC


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adam_text	Contents Preface to the first edition vii Preface to the revised edition viii Introduction 1.1 Algebra of sets. Functions 1 1.2 Cardinal numbers 3 1.3 Order relations. Ordinal numbers 4 1.4 The axiom of choice 8 1.5 Real numbers 10 Chapter 1: Topological spaces 1.1 Topological spaces. Open and closed sets. Bases. Closure and interior of a set . . 11 1.2 Methods of generating topologies 20 1.3 Boundary of a set and derived set. Dense and nowhere dense sets. Borel sets ... 24 1.4 Continuous mappings. Closed and open mappings. Homeomorphisms 27 1.5 Axioms of separation 36 1.6 Convergence in topological spaces: Nets and filters. Sequential and Frechet spaces 49 1.7 Problems 56 Chapter 2: Operations on topological spaces 2.1 Subspaces 65 2.2 Sums 74 2.3 Cartesian products 77 2.4 Quotient spaces and quotient mappings 90 2.5 Limits of inverse systems 98 2.6 Function spaces I: The topology of uniform convergence on Rx and the topology of pointwise convergence 105 2.7 Problems 112 Chapter 3: Compact spaces 3.1 Compact spaces 123 3.2 Operations on compact spaces 136 3.3 Locally compact spaces and fc-spaces 148 3.4 Function spaces II: The compact-open topology 156 3.5 Compactifications 166 3.6 The Cech-Stone compactification and the Wallman extension 172 3.7 Perfect mappings 182 3.8 Lindelof spaces 192 3.9 Cech-complete spaces 196 3.10 Countably compact spaces, pseudocompact spaces and sequentially compact spaces 202 3.11 Realcompact spaces 214 3.12 Problems 220 vi Chapter 4: Metric and metrizable spaces 4.1 Metric and metrizable spaces 248 4.2 Operations on metrizable spaces 258 4.3 Totally bounded and complete metric spaces. Compactness in metric spaces . . . 266 4.4 Metrization theorems I 280 4.5 Problems 288 Chapter 5: Paracompact spaces 5.1 Paracompact spaces 299 5.2 Countably paracompact spaces 316 5.3 Weakly and strongly paracompact spaces 322 5.4 Metrization theorems II 329 5.5 Problems 337 Chapter 6: Connected spaces 6.1 Connected spaces 352 6.2 Various kinds of disconnectedness 360 6.3 Problems 372 Chapter 7: Dimension of topological spaces 7.1 Definitions and basic properties of dimensions ind, Ind, and dim 383 7.2 Further properties of the dimension dim 394 7.3 Dimension of metrizable spaces 402 7.4 Problems 418 Chapter 8: Uniform spaces and proximity spaces 8.1 Uniformities and uniform spaces 426 8.2 Operations on uniform spaces 438 8.3 Totally bounded and complete uniform spaces. Compactness in uniform spaces . 444 8.4 Proximities and proximity spaces 451 8.5 Problems 460 Bibliography 469 Tables Relations between main classes of topological spaces 508 Invariants of operations 509 Invariants and inverse invariants of mappings 510 List of special symbols 511 Author index 514 Subject index 520
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isbn	3885380064
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physical	VIII, 529 S. Ill.
publishDate	1989
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publisher	Heldermann
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series	Sigma series in pure mathematics
series2	Sigma series in pure mathematics
spelling	Engelking, Ryszard Verfasser aut General topology Ryszard Engelking Rev. and completed ed. Berlin Heldermann 1989 VIII, 529 S. Ill. txt rdacontent n rdamedia nc rdacarrier Sigma series in pure mathematics 6 Literaturverz. S. 469 - 507 Dimension Espace uniforme Exercice topologie Proximité Topologie générale Topologie gtt Topologie ram Topology Topologie (DE-588)4060425-1 gnd rswk-swf Topologie (DE-588)4060425-1 s DE-604 Sigma series in pure mathematics 6 (DE-604)BV000012120 6 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001226355&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Engelking, Ryszard General topology Sigma series in pure mathematics Dimension Espace uniforme Exercice topologie Proximité Topologie générale Topologie gtt Topologie ram Topology Topologie (DE-588)4060425-1 gnd
subject_GND	(DE-588)4060425-1
title	General topology
title_auth	General topology
title_exact_search	General topology
title_full	General topology Ryszard Engelking
title_fullStr	General topology Ryszard Engelking
title_full_unstemmed	General topology Ryszard Engelking
title_short	General topology
title_sort	general topology
topic	Dimension Espace uniforme Exercice topologie Proximité Topologie générale Topologie gtt Topologie ram Topology Topologie (DE-588)4060425-1 gnd
topic_facet	Dimension Espace uniforme Exercice topologie Proximité Topologie générale Topologie Topology
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