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

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 entities

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

Additional URL for this publicationhttp://www.springerlink.com/index/10.1007/s00013-007-2321-1

Journal ISSN0003-889X

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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.

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