The Resource Introduction to homotopy theory, Martin Arkowitz
Introduction to homotopy theory, Martin Arkowitz
Resource Information
The item Introduction to homotopy theory, Martin Arkowitz represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Introduction to homotopy theory, Martin Arkowitz represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 This is a book in pure mathematics dealing with homotopy theory, one of the main branches of algebraic topology. The principal topics are as follows:  Basic homotopy;  Hspaces and coHspaces;  Fibrations and cofibrations;  Exact sequences of homotopy sets, actions, and coactions;  Homotopy pushouts and pullbacks;  Classical theorems, including those of Serre, Hurewicz, BlakersMassey, and Whitehead;  Homotopy sets;  Homotopy and homology decompositions of spaces and maps; and  Obstruction theory. The underlying theme of the entire book is the EckmannHilton duality theory. This approach provides a unifying motif, clarifies many concepts, and reduces the amount of repetitious material. The subject matter is treated carefully with attention to detail, motivation is given for many results, there are several illustrations, and there are a large number of exercises of varying degrees of difficulty. It is assumed that the reader has had some exposure to the rudiments of homology theory and fundamental group theory; these topics are discussed in the appendices. The book can be used as a text for the second semester of an algebraic topology course. The intended audience of this book is advanced undergraduate or graduate students. The book could also be used by anyone with a little background in topology who wishes to learn some homotopy theory
 Language
 eng
 Extent
 1 online resource (xiii, 344 pages)
 Contents

 1. Basic homotopy
 2. Hspaces and CoHspaces
 3. Cofibrations and fibrations
 4. Exact sequences
 5. Applications of exactness
 6. Homotopy pushouts and pullbacks
 7. Homotopy and homology decompositions
 8. Homotopy sets
 9. Obstruction theory
 Isbn
 9781441973290
 Label
 Introduction to homotopy theory
 Title
 Introduction to homotopy theory
 Statement of responsibility
 Martin Arkowitz
 Language
 eng
 Summary
 This is a book in pure mathematics dealing with homotopy theory, one of the main branches of algebraic topology. The principal topics are as follows:  Basic homotopy;  Hspaces and coHspaces;  Fibrations and cofibrations;  Exact sequences of homotopy sets, actions, and coactions;  Homotopy pushouts and pullbacks;  Classical theorems, including those of Serre, Hurewicz, BlakersMassey, and Whitehead;  Homotopy sets;  Homotopy and homology decompositions of spaces and maps; and  Obstruction theory. The underlying theme of the entire book is the EckmannHilton duality theory. This approach provides a unifying motif, clarifies many concepts, and reduces the amount of repetitious material. The subject matter is treated carefully with attention to detail, motivation is given for many results, there are several illustrations, and there are a large number of exercises of varying degrees of difficulty. It is assumed that the reader has had some exposure to the rudiments of homology theory and fundamental group theory; these topics are discussed in the appendices. The book can be used as a text for the second semester of an algebraic topology course. The intended audience of this book is advanced undergraduate or graduate students. The book could also be used by anyone with a little background in topology who wishes to learn some homotopy theory
 Cataloging source
 E7B
 http://library.link/vocab/creatorDate
 1935
 http://library.link/vocab/creatorName
 Arkowitz, M.
 Dewey number
 514/.24
 Illustrations
 illustrations
 Index
 index present
 Language note
 English
 LC call number
 QA612.7
 LC item number
 .A75 2011eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Universitext,
 http://library.link/vocab/subjectName

 Homotopy theory
 Homotopy theory
 Label
 Introduction to homotopy theory, Martin Arkowitz
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 1. Basic homotopy  2. Hspaces and CoHspaces  3. Cofibrations and fibrations  4. Exact sequences  5. Applications of exactness  6. Homotopy pushouts and pullbacks  7. Homotopy and homology decompositions  8. Homotopy sets  9. Obstruction theory
 Control code
 747413731
 Dimensions
 unknown
 Extent
 1 online resource (xiii, 344 pages)
 Form of item
 online
 Isbn
 9781441973290
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9781441973290
 Other physical details
 illustrations.
 Specific material designation
 remote
 System control number
 (OCoLC)747413731
 Label
 Introduction to homotopy theory, Martin Arkowitz
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 1. Basic homotopy  2. Hspaces and CoHspaces  3. Cofibrations and fibrations  4. Exact sequences  5. Applications of exactness  6. Homotopy pushouts and pullbacks  7. Homotopy and homology decompositions  8. Homotopy sets  9. Obstruction theory
 Control code
 747413731
 Dimensions
 unknown
 Extent
 1 online resource (xiii, 344 pages)
 Form of item
 online
 Isbn
 9781441973290
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9781441973290
 Other physical details
 illustrations.
 Specific material designation
 remote
 System control number
 (OCoLC)747413731
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/IntroductiontohomotopytheoryMartin/m9cI93I7Z2E/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/IntroductiontohomotopytheoryMartin/m9cI93I7Z2E/">Introduction to homotopy theory, Martin Arkowitz</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>