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The Resource Fundamentals of Algebraic Topology, by Steven H. Weintraub, (electronic resource)
Fundamentals of Algebraic Topology, by Steven H. Weintraub, (electronic resource)
Resource Information
The item Fundamentals of Algebraic Topology, by Steven H. Weintraub, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.This item is available to borrow from all library branches.
Resource Information
The item Fundamentals of Algebraic Topology, by Steven H. Weintraub, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.
This item is available to borrow from all library branches.
 Summary
 This rapid and concise presentation of the essential ideas and results of algebraic topology follows the axiomatic foundations pioneered by Eilenberg and Steenrod. The approach of the book is pragmatic: while most proofs are given, those that are particularly long or technical are omitted, and results are stated in a form that emphasizes practical use over maximal generality. Moreover, to better reveal the logical structure of the subject, the separate roles of algebra and topology are illuminated. Assuming a background in pointset topology, Fundamentals of Algebraic Topology covers the canon of a firstyear graduate course in algebraic topology: the fundamental group and covering spaces, homology and cohomology, CW complexes and manifolds, and a short introduction to homotopy theory. Readers wishing to deepen their knowledge of algebraic topology beyond the fundamentals are guided by a short but carefully annotated bibliography
 Language

 eng
 eng
 Edition
 1st ed. 2014.
 Extent
 1 online resource (X, 163 p. 82 illus.)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Contents

 Preface
 1. The Basics
 2. The Fundamental Group
 3. Generalized Homology Theory
 4. Ordinary Homology Theory
 5. Singular Homology Theory
 6. Manifolds
 7. Homotopy Theory
 8. Homotopy Theory
 A. Elementary Homological Algebra
 B. Bilinear Forms. C. Categories and Functors
 Bibliography
 Index
 Isbn
 9781493918447
 Label
 Fundamentals of Algebraic Topology
 Title
 Fundamentals of Algebraic Topology
 Statement of responsibility
 by Steven H. Weintraub
 Language

 eng
 eng
 Summary
 This rapid and concise presentation of the essential ideas and results of algebraic topology follows the axiomatic foundations pioneered by Eilenberg and Steenrod. The approach of the book is pragmatic: while most proofs are given, those that are particularly long or technical are omitted, and results are stated in a form that emphasizes practical use over maximal generality. Moreover, to better reveal the logical structure of the subject, the separate roles of algebra and topology are illuminated. Assuming a background in pointset topology, Fundamentals of Algebraic Topology covers the canon of a firstyear graduate course in algebraic topology: the fundamental group and covering spaces, homology and cohomology, CW complexes and manifolds, and a short introduction to homotopy theory. Readers wishing to deepen their knowledge of algebraic topology beyond the fundamentals are guided by a short but carefully annotated bibliography
 http://library.link/vocab/creatorName
 Weintraub, Steven H
 Dewey number
 514.2
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 JS_ZCpyhHCU
 Image bit depth
 0
 Language note
 English
 LC call number
 QA612612.8
 Literary form
 non fiction
 Series statement
 Graduate Texts in Mathematics,
 Series volume
 270
 http://library.link/vocab/subjectName

 Algebraic topology
 Cell aggregation
 Algebra
 Algebraic Topology
 Manifolds and Cell Complexes (incl. Diff.Topology)
 Category Theory, Homological Algebra
 Label
 Fundamentals of Algebraic Topology, by Steven H. Weintraub, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Contents
 Preface  1. The Basics  2. The Fundamental Group  3. Generalized Homology Theory  4. Ordinary Homology Theory  5. Singular Homology Theory  6. Manifolds  7. Homotopy Theory  8. Homotopy Theory  A. Elementary Homological Algebra  B. Bilinear Forms. C. Categories and Functors  Bibliography  Index
 Dimensions
 unknown
 Edition
 1st ed. 2014.
 Extent
 1 online resource (X, 163 p. 82 illus.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9781493918447
 Level of compression
 uncompressed
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9781493918447
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3710000000269881
 (SSID)ssj0001372638
 (PQKBManifestationID)11888488
 (PQKBTitleCode)TC0001372638
 (PQKBWorkID)11304636
 (PQKB)10302634
 (DEHe213)9781493918447
 (EXLCZ)993710000000269881
 Label
 Fundamentals of Algebraic Topology, by Steven H. Weintraub, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Contents
 Preface  1. The Basics  2. The Fundamental Group  3. Generalized Homology Theory  4. Ordinary Homology Theory  5. Singular Homology Theory  6. Manifolds  7. Homotopy Theory  8. Homotopy Theory  A. Elementary Homological Algebra  B. Bilinear Forms. C. Categories and Functors  Bibliography  Index
 Dimensions
 unknown
 Edition
 1st ed. 2014.
 Extent
 1 online resource (X, 163 p. 82 illus.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9781493918447
 Level of compression
 uncompressed
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9781493918447
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3710000000269881
 (SSID)ssj0001372638
 (PQKBManifestationID)11888488
 (PQKBTitleCode)TC0001372638
 (PQKBWorkID)11304636
 (PQKB)10302634
 (DEHe213)9781493918447
 (EXLCZ)993710000000269881
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