The Resource Introduction to Topology : Third Edition, (electronic resource)
Introduction to Topology : Third Edition, (electronic resource)
Resource Information
The item Introduction to Topology : Third Edition, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Introduction to Topology : Third Edition, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Extent
 1 online resource (300 pages)
 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 Pathconnected 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 BolzanoWeierstrass property; 7 Surfaces by identification; Bibliography; Index
 Isbn
 9780486135090
 Label
 Introduction to Topology : Third Edition
 Title
 Introduction to Topology
 Title remainder
 Third Edition
 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
 AUPeEL
 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)
 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 Pathconnected 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 BolzanoWeierstrass 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, noncommercial 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)
 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 Pathconnected 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 BolzanoWeierstrass 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, noncommercial 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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