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; - H-spaces and co-H-spaces; - Fibrations and cofibrations; - Exact sequences of homotopy sets, actions, and coactions; - Homotopy pushouts and pullbacks; - Classical theorems, including those of Serre, Hurewicz, Blakers-Massey, and Whitehead; - Homotopy sets; - Homotopy and homology decompositions of spaces and maps; and - Obstruction theory. The underlying theme of the entire book is the Eckmann-Hilton 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. H-spaces and Co-H-spaces
- 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; - H-spaces and co-H-spaces; - Fibrations and cofibrations; - Exact sequences of homotopy sets, actions, and coactions; - Homotopy pushouts and pullbacks; - Classical theorems, including those of Serre, Hurewicz, Blakers-Massey, and Whitehead; - Homotopy sets; - Homotopy and homology decompositions of spaces and maps; and - Obstruction theory. The underlying theme of the entire book is the Eckmann-Hilton 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. H-spaces and Co-H-spaces -- 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
- 10.1007/978-1-4419-7329-0
- 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. H-spaces and Co-H-spaces -- 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
- 10.1007/978-1-4419-7329-0
- 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 fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Introduction-to-homotopy-theory-Martin/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/Introduction-to-homotopy-theory-Martin/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>
