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Foundations of topology/ (Record no. 185940)

MARC details
000 -LEADER
fixed length control field	02596nam a2200181Ia 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number	9780763742348
040 ## - CATALOGING SOURCE
Transcribing agency	CUS
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number	514
Item number	PAT/F
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name	Patty, C.Wayne.
245 #0 - TITLE STATEMENT
Title	Foundations of topology/
Statement of responsibility, etc.	C. Wayne Patty.
250 ## - EDITION STATEMENT
Edition statement	2nd ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc.	Boston:
Name of publisher, distributor, etc.	Jones and Bartlett,
Date of publication, distribution, etc.	2013.
300 ## - PHYSICAL DESCRIPTION
Extent	xi, 380 p. :
Other physical details	ill. ;
Dimensions	24 cm.
440 ## - SERIES
Title	Jones and Bartlett Publishers series in mathematics., Topology.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note	1 Topological Spaces 1<br/>1 Metric Spaces 1<br/>2 Topological Spaces: The Definition and Examples 10<br/>3 Basis for a Topology 15<br/>4 Closed Sets, Closures, and Interiors of Sets 26<br/>5 Metric Spaces Revisited 36<br/>6 Convergence 42<br/>7 Continuous Functions and Homeomorphisms 50<br/>2 New Spaces from Old Ones 59<br/>1 Subspaces 59<br/>2 The Product Topology on X ? Y 67<br/>3 The Product Topology 73<br/>4 The Weak Topology and the Product Topology 80<br/>5 The Uniform Metric 85<br/>6 Quotient Spaces 90<br/>3 Connectedness 102<br/>1 Connected Spaces 102<br/>2 Pathwise and Local Connectedness 112<br/>3 Totally Disconnected Spaces 119<br/>4 Compactness 123<br/>1 Compactness in Metric Spaces 123<br/>2 Compact Spaces 131<br/>3 Local Compactness and the Relation Between Various Forms of Compactness 140<br/>4 The Weak Topology on a Topological Space 145<br/>5 Equicontinuity 149<br/>5 The Separation and Countability Axioms 154<br/>1 T0-, T1-, and T2-Spaces 154<br/>2 Regular and Completely Regular Spaces 159<br/>3 Normal and Completely Normal Spaces 167<br/>4 The Countability Axioms 172<br/>5 Urysohn¿s Lemma and the Tietze Extension Theorem 176<br/>6 Embeddings 180<br/>6 Special Topics 185<br/>1 Contraction Mappings in Metric Spaces 185<br/>2 Normed Linear Spaces 187<br/>3 The Fréchet Derivative 192<br/>4 Manifolds 199<br/>5 Fractals 210<br/>6 Compactifications 218<br/>7 The Alexander Subbase and the Tychonoff Theorems 225<br/>7 Metrizability and Paracompactness 229<br/>1 Urysohn¿s Metrization Theorem 229<br/>2 Paracompactness 232<br/>3 The Nagata-Smirnov Metrization Theorem 241<br/>8 The Fundamental Group and Covering Spaces 248<br/>1 Homotopy of Paths 248<br/>2 The Fundamental Group 257<br/>3 The Fundamental Group of the Circle 261<br/>4 Covering Spaces 265<br/>5 Applications and Additional Examples of Fundamental Groups 268<br/>6 Knots 274<br/>9 Applications of Homotopy 281<br/>1 Inessential Maps 281<br/>2 The Fundamental Theorem of Algebra 283<br/>3 Homotopic Maps 285<br/>4 The Jordan Curve Theorem 287<br/>A Logic and Proofs 294<br/>B Sets 300<br/>C Functions 305<br/>D Indexing Sets and Cartesian Products 311<br/>E Equivalence Relations and Order Relations 315<br/>F Countable Sets 320<br/>G Uncountable Sets 324<br/>H Ordinal and Cardinal Numbers 326<br/>I Algebra 331<br/>Bibliography 338<br/>Index 340
650 ## - SUBJECT
Keyword	Topology
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type	General Books

Holdings
Withdrawn status	Lost status	Damaged status	Not for loan	Home library	Current library	Shelving location	Date acquired	Full call number	Accession number	Date last seen	Date last checked out	Koha item type
				Central Library, Sikkim University	Central Library, Sikkim University	General Book Section	29/08/2016	514 PAT/F	P40953	14/12/2023	14/12/2023	General Books