A separable manifold failing to have the homotopy type of a CW-complex

Gabard, Alexandre Pierre Joseph

doi:10.1007/s00013-007-2321-1

Scientific article

Open access

English

A separable manifold failing to have the homotopy type of a CW-complex

ContributorsGabard, Alexandre Pierre Joseph

Published inArchiv der Mathematik, vol. 90, no. 3, p. 267-274

Collection

Open Access - Licence nationale Springer

Publication date2008

Abstract

We show that (a variation of) the Prüfer surface, which is an example of a separable non-metrizable 2-manifold, does not have the homotopy type of a CW-complex.

Keywords

Separable manifold
homotopy type
CW-complex

Affiliation

Faculté des sciences / Section de mathématiques

Citation (ISO format)

GABARD, Alexandre Pierre Joseph. A separable manifold failing to have the homotopy type of a CW-complex. In: Archiv der Mathematik, 2008, vol. 90, n° 3, p. 267–274. doi: 10.1007/s00013-007-2321-1

Article (Published version)

Identifiers

PID : unige:9779
DOI : 10.1007/s00013-007-2321-1

Commercial URLhttp://www.springerlink.com/index/10.1007/s00013-007-2321-1

ISSN of the journal0003-889X

676views

206downloads

Creation07/05/2010 11:56:00 AM

First validation07/05/2010 11:56:00 AM

Update time03/14/2023 3:55:44 PM

Status update03/14/2023 3:55:44 PM

Last indexation01/15/2024 8:59:21 PM

Archive ouverte UNIGE

A separable manifold failing to have the homotopy type of a CW-complex

We show that (a variation of) the Prüfer surface, which is an example of a separable non-metrizable 2-manifold, does not have the homotopy type of a CW-complex.

Technical informations