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The Resource The Geometric Hopf Invariant and Surgery Theory, by Michael Crabb, Andrew Ranicki, (electronic resource)
The Geometric Hopf Invariant and Surgery Theory, by Michael Crabb, Andrew Ranicki, (electronic resource)
Resource Information
The item The Geometric Hopf Invariant and Surgery Theory, by Michael Crabb, Andrew Ranicki, (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 The Geometric Hopf Invariant and Surgery Theory, by Michael Crabb, Andrew Ranicki, (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
 Written by leading experts in the field, this monograph provides homotopy theoretic foundations for surgery theory on higherdimensional manifolds. Presenting classical ideas in a modern framework, the authors carefully highlight how their results relate to (and generalize) existing results in the literature. The central result of the book expresses algebraic surgery theory in terms of the geometric Hopf invariant, a construction in stable homotopy theory which captures the double points of immersions. Many illustrative examples and applications of the abstract results are included in the book, making it of wide interest to topologists. Serving as a valuable reference, this work is aimed at graduate students and researchers interested in understanding how the algebraic and geometric topology fit together in the surgery theory of manifolds. It is the only book providing such a wideranging historical approach to the Hopf invariant, double points and surgery theory, with many results old and new.
 Language
 eng
 Extent
 XVI, 397 p. 1 illus. in color.
 Contents

 1 The difference construction
 2 Umkehr maps and inner product spaces
 3 Stable homotopy theory
 4 Z_2equivariant homotopy and bordism theory
 5 The geometric Hopf invariant
 6 The double point theorem
 7 The equivariant geometric Hopf invariant
 8 Surgery obstruction theory
 A The homotopy Umkehr map
 B Notes on Z2bordism
 C The geometric Hopf invariant and double points (2010)
 References
 Index
 Isbn
 9783319713069
 Label
 The Geometric Hopf Invariant and Surgery Theory
 Title
 The Geometric Hopf Invariant and Surgery Theory
 Statement of responsibility
 by Michael Crabb, Andrew Ranicki
 Language
 eng
 Summary
 Written by leading experts in the field, this monograph provides homotopy theoretic foundations for surgery theory on higherdimensional manifolds. Presenting classical ideas in a modern framework, the authors carefully highlight how their results relate to (and generalize) existing results in the literature. The central result of the book expresses algebraic surgery theory in terms of the geometric Hopf invariant, a construction in stable homotopy theory which captures the double points of immersions. Many illustrative examples and applications of the abstract results are included in the book, making it of wide interest to topologists. Serving as a valuable reference, this work is aimed at graduate students and researchers interested in understanding how the algebraic and geometric topology fit together in the surgery theory of manifolds. It is the only book providing such a wideranging historical approach to the Hopf invariant, double points and surgery theory, with many results old and new.
 http://library.link/vocab/creatorName
 Crabb, Michael
 Image bit depth
 0
 LC call number
 QA612612.8
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Ranicki, Andrew.
 SpringerLink
 Series statement
 Springer Monographs in Mathematics,
 http://library.link/vocab/subjectName

 Mathematics
 Algebraic topology
 Manifolds (Mathematics)
 Complex manifolds
 Mathematics
 Algebraic Topology
 Manifolds and Cell Complexes (incl. Diff.Topology)
 Label
 The Geometric Hopf Invariant and Surgery Theory, by Michael Crabb, Andrew Ranicki, (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
 1 The difference construction  2 Umkehr maps and inner product spaces  3 Stable homotopy theory  4 Z_2equivariant homotopy and bordism theory  5 The geometric Hopf invariant  6 The double point theorem  7 The equivariant geometric Hopf invariant  8 Surgery obstruction theory  A The homotopy Umkehr map  B Notes on Z2bordism  C The geometric Hopf invariant and double points (2010)  References  Index
 Dimensions
 unknown
 Extent
 XVI, 397 p. 1 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319713069
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319713069
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319713069
 Label
 The Geometric Hopf Invariant and Surgery Theory, by Michael Crabb, Andrew Ranicki, (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
 1 The difference construction  2 Umkehr maps and inner product spaces  3 Stable homotopy theory  4 Z_2equivariant homotopy and bordism theory  5 The geometric Hopf invariant  6 The double point theorem  7 The equivariant geometric Hopf invariant  8 Surgery obstruction theory  A The homotopy Umkehr map  B Notes on Z2bordism  C The geometric Hopf invariant and double points (2010)  References  Index
 Dimensions
 unknown
 Extent
 XVI, 397 p. 1 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319713069
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319713069
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319713069
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/TheGeometricHopfInvariantandSurgeryTheory/fIO4qWUac/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/TheGeometricHopfInvariantandSurgeryTheory/fIO4qWUac/">The Geometric Hopf Invariant and Surgery Theory, by Michael Crabb, Andrew Ranicki, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>