Coverart for item
The Resource Introduction to Topology : Third Edition, (electronic resource)

Introduction to Topology : Third Edition, (electronic resource)

Label
Introduction to Topology : Third Edition
Title
Introduction to Topology
Title remainder
Third Edition
Creator
Language
eng
Summary
Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduction to the fundamentals of topology. It provides a simple, thorough survey of elementary topics, starting with set theory and advancing to metric and topological spaces, connectedness, and compactness. 1975 edition
Cataloging source
AU-PeEL
http://library.link/vocab/creatorName
Mendelson, Bert
Nature of contents
dictionaries
Series statement
  • ProQuest Ebook Central
  • Dover Books on Mathematics
Label
Introduction to Topology : Third Edition, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://EUI.eblib.com/patron/FullRecord.aspx?p=1894755
Instantiates
Publication
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
  • Cover; Title Page; Copyright Page; Contents; Preface; 1 Theory of Sets; 1 Introduction; 2 Sets and subsets; 3 Set operations: union, intersection, and complement; 4 Indexed families of sets; 5 Products of sets; 6 Functions; 7 Relations; 8 Composition of functions and diagrams; 9 Inverse functions, extensions, and restrictions; 10 Arbitrary products; 2 Metric Spaces; 1 Introduction; 2 Metric spaces; 3 Continuity; 4 Open balls and neighborhoods; 5 Limits; 6 Open sets and closed sets; 7 Subspaces and equivalence of metric spaces; 8 An infinite dimensional Euclidean space; 3 Topological Spaces
  • 1 Introduction2 Topological spaces; 3 Neighborhoods and neighborhood spaces; 4 Closure, interior, boundary; 5 Functions, continuity, homeomorphism; 6 Subspaces; 7 Products; 8 Identification topologies; 9 Categories and functors; 4 Connectedness; 1 Introduction; 2 Connectedness; 3 Connectedness on the real line; 4 Some applications of connectedness; 5 Components and local connectedness; 6 Path-connected topological spaces; 7 Homotopic paths and the fundamental group; 8 Simple connectedness; 5 Compactness; 1 Introduction; 2 Compact topological spaces; 3 Compact subsets of the real line
  • 4 Products of compact spaces5 Compact metric spaces; 6 Compactness and the Bolzano-Weierstrass property; 7 Surfaces by identification; Bibliography; Index
Control code
u390999
Dimensions
unknown
Extent
1 online resource (300 pages)
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9780486135090
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Specific material designation
remote
System control number
  • EBL1894755
  • (OCoLC)1088453402
Label
Introduction to Topology : Third Edition, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://EUI.eblib.com/patron/FullRecord.aspx?p=1894755
Publication
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
  • Cover; Title Page; Copyright Page; Contents; Preface; 1 Theory of Sets; 1 Introduction; 2 Sets and subsets; 3 Set operations: union, intersection, and complement; 4 Indexed families of sets; 5 Products of sets; 6 Functions; 7 Relations; 8 Composition of functions and diagrams; 9 Inverse functions, extensions, and restrictions; 10 Arbitrary products; 2 Metric Spaces; 1 Introduction; 2 Metric spaces; 3 Continuity; 4 Open balls and neighborhoods; 5 Limits; 6 Open sets and closed sets; 7 Subspaces and equivalence of metric spaces; 8 An infinite dimensional Euclidean space; 3 Topological Spaces
  • 1 Introduction2 Topological spaces; 3 Neighborhoods and neighborhood spaces; 4 Closure, interior, boundary; 5 Functions, continuity, homeomorphism; 6 Subspaces; 7 Products; 8 Identification topologies; 9 Categories and functors; 4 Connectedness; 1 Introduction; 2 Connectedness; 3 Connectedness on the real line; 4 Some applications of connectedness; 5 Components and local connectedness; 6 Path-connected topological spaces; 7 Homotopic paths and the fundamental group; 8 Simple connectedness; 5 Compactness; 1 Introduction; 2 Compact topological spaces; 3 Compact subsets of the real line
  • 4 Products of compact spaces5 Compact metric spaces; 6 Compactness and the Bolzano-Weierstrass property; 7 Surfaces by identification; Bibliography; Index
Control code
u390999
Dimensions
unknown
Extent
1 online resource (300 pages)
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9780486135090
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Specific material designation
remote
System control number
  • EBL1894755
  • (OCoLC)1088453402

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