On pseudo-isotopy classes of homeomorphisms of a dimensional differentiable manifold.

Alberto Cavicchioli; Friedrich Hegenbarth

Revista Matemática Complutense (1998)

  • Volume: 11, Issue: 1, page 145-164
  • ISSN: 1139-1138

Abstract

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We study self-homotopy equivalences and diffeomorphisms of the (n+1)-dimensional manifold X= #p(S1 x Sn) for any n ≥ 3. Then we completely determine the group of pseudo-isotopy classes of homeomorphisms of X and extend to dimension n well-known theorems due to F. Laudenbach and V. Poenaru (1972,1973), and J. M. Montesinos (1979).

How to cite

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Cavicchioli, Alberto, and Hegenbarth, Friedrich. "On pseudo-isotopy classes of homeomorphisms of a dimensional differentiable manifold.." Revista Matemática Complutense 11.1 (1998): 145-164. <http://eudml.org/doc/44472>.

@article{Cavicchioli1998,
abstract = {We study self-homotopy equivalences and diffeomorphisms of the (n+1)-dimensional manifold X= #p(S1 x Sn) for any n ≥ 3. Then we completely determine the group of pseudo-isotopy classes of homeomorphisms of X and extend to dimension n well-known theorems due to F. Laudenbach and V. Poenaru (1972,1973), and J. M. Montesinos (1979).},
author = {Cavicchioli, Alberto, Hegenbarth, Friedrich},
journal = {Revista Matemática Complutense},
keywords = {Isotopía; Homeomorfismos; Variedades diferenciables; Difeomorfismos; Linealidad; Homotopía; handlebody; group of pseudo-isotopy classes; group of homotopy classes of homotopy equivalences},
language = {eng},
number = {1},
pages = {145-164},
title = {On pseudo-isotopy classes of homeomorphisms of a dimensional differentiable manifold.},
url = {http://eudml.org/doc/44472},
volume = {11},
year = {1998},
}

TY - JOUR
AU - Cavicchioli, Alberto
AU - Hegenbarth, Friedrich
TI - On pseudo-isotopy classes of homeomorphisms of a dimensional differentiable manifold.
JO - Revista Matemática Complutense
PY - 1998
VL - 11
IS - 1
SP - 145
EP - 164
AB - We study self-homotopy equivalences and diffeomorphisms of the (n+1)-dimensional manifold X= #p(S1 x Sn) for any n ≥ 3. Then we completely determine the group of pseudo-isotopy classes of homeomorphisms of X and extend to dimension n well-known theorems due to F. Laudenbach and V. Poenaru (1972,1973), and J. M. Montesinos (1979).
LA - eng
KW - Isotopía; Homeomorfismos; Variedades diferenciables; Difeomorfismos; Linealidad; Homotopía; handlebody; group of pseudo-isotopy classes; group of homotopy classes of homotopy equivalences
UR - http://eudml.org/doc/44472
ER -

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