Homotopy Equivalences of 3-Manifolds with Boundaries

Homotopy Equivalences of 3-Manifolds with Boundaries PDF Author: K. Johannson
Publisher: Springer
ISBN: 3540384863
Category : Mathematics
Languages : en
Pages : 312

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Homotopy Equivalences of 3-Manifolds with Boundaries

Homotopy Equivalences of 3-Manifolds with Boundaries PDF Author: K. Johannson
Publisher: Springer
ISBN: 3540384863
Category : Mathematics
Languages : en
Pages : 312

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Homotopy equivalences of 3-manifolds with boundaries

Homotopy equivalences of 3-manifolds with boundaries PDF Author: Klaus Johannson
Publisher:
ISBN:
Category :
Languages : de
Pages :

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Homotopy Equivalences of Three-manifolds with Boundaries

Homotopy Equivalences of Three-manifolds with Boundaries PDF Author: Klaus Johannson
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Homotopy Equivalence of 3 - Manifolds with Boundaries

Homotopy Equivalence of 3 - Manifolds with Boundaries PDF Author: Klaus Johannson
Publisher:
ISBN:
Category :
Languages : en
Pages : 303

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Homotopy Equivalences of 3-Manifolds and Deformation Theory of Kleinian Groups

Homotopy Equivalences of 3-Manifolds and Deformation Theory of Kleinian Groups PDF Author: Richard Douglas Canary
Publisher: American Mathematical Soc.
ISBN: 0821835491
Category : Mathematics
Languages : en
Pages : 238

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Book Description
Three volume narrative history of 20th century.

Diffeomorphisms of Elliptic 3-Manifolds

Diffeomorphisms of Elliptic 3-Manifolds PDF Author: Sungbok Hong
Publisher: Springer
ISBN: 364231564X
Category : Mathematics
Languages : en
Pages : 163

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Book Description
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

Groups of Self-Equivalences and Related Topics

Groups of Self-Equivalences and Related Topics PDF Author: Renzo A. Piccinini
Publisher: Springer
ISBN: 3540470913
Category : Mathematics
Languages : en
Pages : 223

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Book Description
Since the subject of Groups of Self-Equivalences was first discussed in 1958 in a paper of Barcuss and Barratt, a good deal of progress has been achieved. This is reviewed in this volume, first by a long survey article and a presentation of 17 open problems together with a bibliography of the subject, and by a further 14 original research articles.

Homeomorphisms of $3$-Manifolds with Compressible Boundary

Homeomorphisms of $3$-Manifolds with Compressible Boundary PDF Author: Darryl McCullough
Publisher: American Mathematical Soc.
ISBN: 0821823469
Category : Mathematics
Languages : en
Pages : 117

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Book Description
The authors study the mapping class groups of orientable [italic]P2-irreducible 3-manifolds with compressible boundary, and extend the results proved by K. Johannson for the boundary incompressible case. The authors show that the mapping class group is finitely-generated and has a geometrically defined subgroup of finite index. The main tool used in the proof of the results is to reduce the theorems to analogous statements about incompressible neighborhoods of compressible boundary components, and, using the fact that they have a very simple structure (being products-with-handles), to apply geometric techniques. Appropriate extensions of the results of the nonorientable [italic]P2-irreducible 3-manifolds are also given.

Geometric Topology

Geometric Topology PDF Author: James C. Cantrell
Publisher: Elsevier
ISBN: 1483271315
Category : Mathematics
Languages : en
Pages : 713

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Book Description
Geometric Topology contains the proceedings of the 1977 Georgia Topology Conference, held at the University of Georgia on August 1977. The book is comprised of contributions from leading experts in the field of geometric topology.These contributions are grouped into four sections: low dimensional manifolds, topology of manifolds, shape theory and infinite dimensional topology, and miscellaneous problems. Subjects discussed under these sections include local spanning missing loops, the structure of generalized manifolds having nonmanifold set of trivial dimension, universal open principal fibrations, and how to build a flexible polyhedral surface. Topologists, geometers, and mathematicians will find the book very interesting and insightful.

Homotopy Equivalences on Non-irreducible 3 -manifolds

Homotopy Equivalences on Non-irreducible 3 -manifolds PDF Author: John Kalliongis
Publisher:
ISBN:
Category : Homotopy theory
Languages : en
Pages : 124

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