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The Resource Basic Algebraic Topology and its Applications, by Mahima Ranjan Adhikari, (electronic resource)
Basic Algebraic Topology and its Applications, by Mahima Ranjan Adhikari, (electronic resource)
Resource Information
The item Basic Algebraic Topology and its Applications, by Mahima Ranjan Adhikari, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Basic Algebraic Topology and its Applications, by Mahima Ranjan Adhikari, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 This book provides an accessible introduction to algebraic topology, a field at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. Comprising eighteen chapters and two appendices, the book integrates various concepts of algebraic topology, supported by examples, exercises, applications and historical notes. Primarily intended as a textbook, the book offers a valuable resource for undergraduate, postgraduate and advanced mathematics students alike. Focusing more on the geometric than on algebraic aspects of the subject, as well as its natural development, the book conveys the basic language of modern algebraic topology by exploring homotopy, homology and cohomology theories, and examines a variety of spaces: spheres, projective spaces, classical groups and their quotient spaces, function spaces, polyhedra, topological groups, Lie groups and cell complexes, etc. The book studies a variety of maps, which are continuous functions between spaces. It also reveals the importance of algebraic topology in contemporary mathematics, theoretical physics, computer science, chemistry, economics, and the biological and medical sciences, and encourages students to engage in further study
 Language
 eng
 Extent
 XXIX, 615 p. 176 illus.
 Contents

 Prerequisite Concepts and Notations
 Basic Homotopy
 The Fundamental Groups.Covering Spaces
 Fibre Bundles, Vector Bundles and Ktheory
 Geometry of Simplicial Complexes and Fundamental Groups
 Higher Homotopy Groups
 Products in Higher Homotopy Groups
 CWcomplexes and Homotopy
 EilenbergMacLane Spaces
 Homology and Cohomology Theories
 EilenbergSteenrod Axioms for Homology and Cohomology Theories
 Consequences of the EilenbergSteenrod Axioms
 Some Applications of Homology Theory
 Spectral Homology and Cohomology Theories
 Obstruction Theory
 More Relations Between Homotopy and Homology Groups
 A Brief Historical Note
 Isbn
 9788132228431
 Label
 Basic Algebraic Topology and its Applications
 Title
 Basic Algebraic Topology and its Applications
 Statement of responsibility
 by Mahima Ranjan Adhikari
 Subject

 Manifolds (Mathematics)
 Group Theory and Generalizations
 Algebraic topology
 Manifolds and Cell Complexes (incl. Diff.Topology)
 Lie groups
 Lie groups
 Manifolds (Mathematics)
 Group theory
 Algebraic Topology
 Electronic resources
 Ktheory
 Topological Groups, Lie Groups
 Mathematics
 Complex manifolds
 Topological groups
 KTheory
 Algebraic Topology
 KTheory
 Algebraic topology
 Mathematics
 Manifolds (Mathematics)
 Topological groups
 Complex manifolds
 Group theory
 Ktheory
 Language
 eng
 Summary
 This book provides an accessible introduction to algebraic topology, a field at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. Comprising eighteen chapters and two appendices, the book integrates various concepts of algebraic topology, supported by examples, exercises, applications and historical notes. Primarily intended as a textbook, the book offers a valuable resource for undergraduate, postgraduate and advanced mathematics students alike. Focusing more on the geometric than on algebraic aspects of the subject, as well as its natural development, the book conveys the basic language of modern algebraic topology by exploring homotopy, homology and cohomology theories, and examines a variety of spaces: spheres, projective spaces, classical groups and their quotient spaces, function spaces, polyhedra, topological groups, Lie groups and cell complexes, etc. The book studies a variety of maps, which are continuous functions between spaces. It also reveals the importance of algebraic topology in contemporary mathematics, theoretical physics, computer science, chemistry, economics, and the biological and medical sciences, and encourages students to engage in further study
 http://library.link/vocab/creatorName
 Adhikari, Mahima Ranjan
 Image bit depth
 0
 LC call number
 QA612612.8
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink
 http://library.link/vocab/subjectName

 Mathematics
 Group theory
 Ktheory
 Topological groups
 Lie groups
 Algebraic topology
 Manifolds (Mathematics)
 Complex manifolds
 Mathematics
 Algebraic Topology
 Topological Groups, Lie Groups
 Manifolds and Cell Complexes (incl. Diff.Topology)
 Group Theory and Generalizations
 KTheory
 Label
 Basic Algebraic Topology and its Applications, by Mahima Ranjan Adhikari, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Prerequisite Concepts and Notations  Basic Homotopy  The Fundamental Groups.Covering Spaces  Fibre Bundles, Vector Bundles and Ktheory  Geometry of Simplicial Complexes and Fundamental Groups  Higher Homotopy Groups  Products in Higher Homotopy Groups  CWcomplexes and Homotopy  EilenbergMacLane Spaces  Homology and Cohomology Theories  EilenbergSteenrod Axioms for Homology and Cohomology Theories  Consequences of the EilenbergSteenrod Axioms  Some Applications of Homology Theory  Spectral Homology and Cohomology Theories  Obstruction Theory  More Relations Between Homotopy and Homology Groups  A Brief Historical Note
 Dimensions
 unknown
 Extent
 XXIX, 615 p. 176 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9788132228431
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9788132228431
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9788132228431
 Label
 Basic Algebraic Topology and its Applications, by Mahima Ranjan Adhikari, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Prerequisite Concepts and Notations  Basic Homotopy  The Fundamental Groups.Covering Spaces  Fibre Bundles, Vector Bundles and Ktheory  Geometry of Simplicial Complexes and Fundamental Groups  Higher Homotopy Groups  Products in Higher Homotopy Groups  CWcomplexes and Homotopy  EilenbergMacLane Spaces  Homology and Cohomology Theories  EilenbergSteenrod Axioms for Homology and Cohomology Theories  Consequences of the EilenbergSteenrod Axioms  Some Applications of Homology Theory  Spectral Homology and Cohomology Theories  Obstruction Theory  More Relations Between Homotopy and Homology Groups  A Brief Historical Note
 Dimensions
 unknown
 Extent
 XXIX, 615 p. 176 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9788132228431
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9788132228431
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9788132228431
Subject
 Algebraic Topology
 Algebraic Topology
 Algebraic topology
 Algebraic topology
 Complex manifolds
 Complex manifolds
 Electronic resources
 Group Theory and Generalizations
 Group theory
 Group theory
 KTheory
 KTheory
 Ktheory
 Ktheory
 Lie groups
 Lie groups
 Manifolds (Mathematics)
 Manifolds (Mathematics)
 Manifolds (Mathematics)
 Manifolds and Cell Complexes (incl. Diff.Topology)
 Mathematics
 Mathematics
 Topological Groups, Lie Groups
 Topological groups
 Topological groups
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