Introduction to topology (Record no. 399101)

MARC details
000 -LEADER
fixed length control field 03247aam a2200193 4500
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 200211b 2019 ||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9789811369537
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 514
Item number S4I6
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Singh, Tej Bahadur
9 (RLIN) 98919
245 ## - TITLE STATEMENT
Title Introduction to topology
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Name of publisher, distributor, etc. Springer
Date of publication, distribution, etc. 2019
Place of publication, distribution, etc. Singapore
300 ## - PHYSICAL DESCRIPTION
Extent xix, 452 p.
Other physical details Includes bibliographical references and index
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Table of contents<br/><br/>1.Topological Spaces<br/>1.1.Metric Spaces<br/>1.2.Topologies<br/>1.3.Derived Concepts<br/>1.4.Bases<br/>1.5.Subspaces<br/>2.Continuity and the Product Topology<br/>2.1.Continuous Functions<br/>2.2.Product Spaces<br/>3.Connectedness<br/>3.1.Connected Spaces<br/>3.2.Connected Components<br/>3.3.Path-connected Spaces<br/>3.4.Local Connectivity<br/>4.Convergence<br/>4.1.Sequences<br/>4.2.Nets<br/>4.3.Filters<br/>4.4.Hausdorff Spaces<br/>5.Compactness<br/>5.1.Compact Spaces<br/>5.2.Countably Compact Spaces<br/>5.3.Compact Metric Spaces<br/>5.4.Locally Compact Spaces<br/>5.5.Proper Maps<br/>6.Topological Constructions<br/>6.1.Quotient Spaces<br/>6.2.Identification Maps<br/>6.3.Cones, Suspensions, and Joins<br/>6.4.Topological Sums<br/>6.5.Adjunction Spaces<br/>6.6.Induced and Coinduced Topologies<br/>7.Countability Axioms<br/>7.1.First and Second Countable Spaces<br/>7.2.Separable and Lindelof Spaces<br/>8.Separation Axioms<br/>8.1.Regular Spaces<br/>8.2.Normal Spaces<br/>Contents note continued: 8.3.Completely Regular Spaces<br/>9.Paracompactness and Metrizability<br/>9.1.Paracompact Spaces<br/>9.2.A Metrization Theorem<br/>10.Completeness<br/>10.1.Complete Spaces<br/>10.2.Completion<br/>10.3.Baire Spaces<br/>11.Function Spaces<br/>11.1.Topology of Pointwise Convergence<br/>11.2.Compact-Open Topology<br/>11.3.Topology of Compact Convergence<br/>12.Topological Groups<br/>12.1.Basic Properties<br/>12.2.Subgroups<br/>12.3.Quotient Groups and Isomorphisms<br/>12.4.Direct Products<br/>13.Transformation Groups<br/>13.1.Group Actions<br/>13.2.Geometric Motions<br/>14.The Fundamental Group<br/>14.1.Homotopic Maps<br/>14.2.The Fundamental Group<br/>14.3.Fundamental Groups of Spheres<br/>14.4.Some Group Theory<br/>14.5.The Seifert-van Kampen Theorem<br/>15.Covering Spaces<br/>15.1.Covering Maps<br/>15.2.The Lifting Problem<br/>15.3.Action of π(X, x0) on the Fiber p-1(x0)<br/>15.4.Equivalence of Covering Spaces<br/>15.5.Regular Coverings and A Discrete Group Action<br/>Contents note continued: 15.6.The Existence of Covering Spaces
520 ## - SUMMARY, ETC.
Summary, etc. Topology is a large subject with several branches, broadly categorized as algebraic topology, point-set topology, and geometric topology. Point-set topology is the main language for a broad range of mathematical disciplines, while algebraic topology offers as a powerful tool for studying problems in geometry and numerous other areas of mathematics. This book presents the basic concepts of topology, including virtually all of the traditional topics in point-set topology, as well as elementary topics in algebraic topology such as fundamental groups and covering spaces. It also discusses topological groups and transformation groups. When combined with a working knowledge of analysis and algebra, this book offers a valuable resource for advanced undergraduate and beginning graduate students of mathematics specializing in algebraic topology and harmonic analysis.<br/><br/>https://www.springer.com/gp/book/9789811369537
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Topology
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Geometry
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Topological Spaces
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Koha item type Book
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Home library Current library Shelving location Date acquired Source of acquisition Cost, normal purchase price Total Checkouts Full call number Barcode Date last seen Cost, replacement price Price effective from Koha item type
    Dewey Decimal Classification   Added to bundle Non-fiction Ahmedabad Ahmedabad General Stacks 11/02/2020 12 4.00   514 S4I6 201404 11/02/2020 5374.67 11/02/2020 Book

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