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The Resource Lectures on Morse Homology, by Augustin Banyaga, David Hurtubise, (electronic resource)
Lectures on Morse Homology, by Augustin Banyaga, David Hurtubise, (electronic resource)
Resource Information
The item Lectures on Morse Homology, by Augustin Banyaga, David Hurtubise, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Lectures on Morse Homology, by Augustin Banyaga, David Hurtubise, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 This book presents in great detail all the results one needs to prove the Morse Homology Theorem using classical techniques from algebraic topology and homotopy theory. Most of these results can be found scattered throughout the literature dating from the mid to late 1900's in some form or other, but often the results are proved in different contexts with a multitude of different notations and different goals. This book collects all these results together into a single reference with complete and detailed proofs. The core material in this book includes CWcomplexes, Morse theory, hyperbolic dynamical systems (the LambaLemma, the Stable/Unstable Manifold Theorem), transversality theory, the MorseSmaleWitten boundary operator, and Conley index theory. More advanced topics include Morse theory on Grassmann manifolds and Lie groups, and an overview of Floer homology theories. With the stress on completeness and by its elementary approach to Morse homology, this book is suitable as a textbook for a graduate level course, or as a reference for working mathematicians and physicists
 Language
 eng
 Extent
 1 online resource (ix, 326 pages).
 Contents

 Preface
 Introduction
 The CWHomology Theorem
 Basic Morse Theory
 The Stable/Unstable Manifold Theorem
 Basic Differential Topology
 MorseSmale Functions
 The Morse Homology Theorem
 Morse Theory on Grassmann Manifolds
 An Overview of Floer Homology Theories
 Hints and References for Selected Problems
 Bibliography
 Symbol Index
 Index
 Isbn
 9781402026966
 Label
 Lectures on Morse Homology
 Title
 Lectures on Morse Homology
 Statement of responsibility
 by Augustin Banyaga, David Hurtubise
 Language
 eng
 Summary
 This book presents in great detail all the results one needs to prove the Morse Homology Theorem using classical techniques from algebraic topology and homotopy theory. Most of these results can be found scattered throughout the literature dating from the mid to late 1900's in some form or other, but often the results are proved in different contexts with a multitude of different notations and different goals. This book collects all these results together into a single reference with complete and detailed proofs. The core material in this book includes CWcomplexes, Morse theory, hyperbolic dynamical systems (the LambaLemma, the Stable/Unstable Manifold Theorem), transversality theory, the MorseSmaleWitten boundary operator, and Conley index theory. More advanced topics include Morse theory on Grassmann manifolds and Lie groups, and an overview of Floer homology theories. With the stress on completeness and by its elementary approach to Morse homology, this book is suitable as a textbook for a graduate level course, or as a reference for working mathematicians and physicists
 Cataloging source
 AU@
 http://library.link/vocab/creatorName
 Banyaga, Augustin
 Dewey number
 514.74
 Index
 no index present
 LC call number
 QA614614.97
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName
 Hurtubise, David
 Series statement
 Kluwer Texts in the Mathematical Sciences, A GraduateLevel Book Series,
 Series volume
 29
 http://library.link/vocab/subjectName

 Mathematics
 Topological groups
 Global analysis
 Differential equations
 Algebraic topology
 Cell aggregation
 Label
 Lectures on Morse Homology, by Augustin Banyaga, David Hurtubise, (electronic resource)
 Antecedent source
 file reproduced from original
 Carrier category
 online resource
 Carrier category code

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

 txt
 Content type MARC source
 rdacontent
 Contents
 Preface  Introduction  The CWHomology Theorem  Basic Morse Theory  The Stable/Unstable Manifold Theorem  Basic Differential Topology  MorseSmale Functions  The Morse Homology Theorem  Morse Theory on Grassmann Manifolds  An Overview of Floer Homology Theories  Hints and References for Selected Problems  Bibliography  Symbol Index  Index
 Dimensions
 unknown
 Extent
 1 online resource (ix, 326 pages).
 File format
 unknown
 Form of item
 online
 Isbn
 9781402026966
 Isbn Type
 (electronic bk.)
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9781402026966
 Quality assurance targets
 unknown
 Reformatting quality
 access
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)853261792
 (OCoLC)ocn853261792
 Label
 Lectures on Morse Homology, by Augustin Banyaga, David Hurtubise, (electronic resource)
 Antecedent source
 file reproduced from original
 Carrier category
 online resource
 Carrier category code

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

 txt
 Content type MARC source
 rdacontent
 Contents
 Preface  Introduction  The CWHomology Theorem  Basic Morse Theory  The Stable/Unstable Manifold Theorem  Basic Differential Topology  MorseSmale Functions  The Morse Homology Theorem  Morse Theory on Grassmann Manifolds  An Overview of Floer Homology Theories  Hints and References for Selected Problems  Bibliography  Symbol Index  Index
 Dimensions
 unknown
 Extent
 1 online resource (ix, 326 pages).
 File format
 unknown
 Form of item
 online
 Isbn
 9781402026966
 Isbn Type
 (electronic bk.)
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9781402026966
 Quality assurance targets
 unknown
 Reformatting quality
 access
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)853261792
 (OCoLC)ocn853261792
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/LecturesonMorseHomologybyAugustinBanyaga/a81ceAKbvus/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/LecturesonMorseHomologybyAugustinBanyaga/a81ceAKbvus/">Lectures on Morse Homology, by Augustin Banyaga, David Hurtubise, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>