# 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

## Access Full Article

top## Abstract

top## How to cite

topCavicchioli, 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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.