Coverart for item
The Resource Diffeomorphisms of elliptic 3-manifolds, Sungbok Hong [and others]

Diffeomorphisms of elliptic 3-manifolds, Sungbok Hong [and others]

Label
Diffeomorphisms of elliptic 3-manifolds
Title
Diffeomorphisms of elliptic 3-manifolds
Statement of responsibility
Sungbok Hong [and others]
Contributor
Subject
Language
eng
Summary
This work concerns the diffeomorphism groups of 3-manifolds, in particular of elliptic 3-manifolds. These are the closed 3-manifolds that admit a Riemannian metric of constant positive curvature, now known to be exactly the closed 3-manifolds that have a finite fundamental group. The (Generalized) Smale Conjecture asserts that for any elliptic 3-manifold M, the inclusion from the isometry group of M to its diffeomorphism group is a homotopy equivalence. The original Smale Conjecture, for the 3-sphere, was proven by J. Cerf and A. Hatcher, and N. Ivanov proved the generalized conjecture for many of the elliptic 3-manifolds that contain a geometrically incompressible Klein bottle. The main results establish the Smale Conjecture for all elliptic 3-manifolds containing geometrically incompressible Klein bottles, and for all lens spaces L(m, q) with m at least 3. Additional results imply that for a Haken Seifert-fibered 3 manifold V, the space of Seifert fiberings has contractible components, and apart from a small list of known exceptions, is contractible. Considerable foundational and background material on diffeomorphism groups is included
Member of
Cataloging source
HNK
Dewey number
514/.72
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA613.65
LC item number
.D54 2012eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Hong, Sungbok
Series statement
Lecture notes in mathematics,
Series volume
2055
http://library.link/vocab/subjectName
  • Diffeomorphisms
  • Three-manifolds (Topology)
  • Diffeomorphisms
  • Three-manifolds (Topology)
Label
Diffeomorphisms of elliptic 3-manifolds, Sungbok Hong [and others]
Instantiates
Publication
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
  • Elliptic Three-Manifolds and the Smale Conjecture
  • Diffeomorphisms and Embeddings of Manifolds
  • The Method of Cerf and Palais
  • Elliptic Three-Manifolds Containing One-Sided Klein Bottles
  • Lens Spaces
Control code
808999840
Dimensions
unknown
Extent
1 online resource (x, 155 pages)
Form of item
online
Isbn
9783642315640
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-31564-0
Other physical details
illustrations.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)808999840
Label
Diffeomorphisms of elliptic 3-manifolds, Sungbok Hong [and others]
Publication
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
  • Elliptic Three-Manifolds and the Smale Conjecture
  • Diffeomorphisms and Embeddings of Manifolds
  • The Method of Cerf and Palais
  • Elliptic Three-Manifolds Containing One-Sided Klein Bottles
  • Lens Spaces
Control code
808999840
Dimensions
unknown
Extent
1 online resource (x, 155 pages)
Form of item
online
Isbn
9783642315640
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-31564-0
Other physical details
illustrations.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)808999840

Library Locations

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      38.944491 -92.326012
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