The generalized Schoenflies theorem for absolute suspensions

David P. Bellamy; Janusz M. Lysko

Colloquium Mathematicae (2005)

  • Volume: 103, Issue: 2, page 241-246
  • ISSN: 0010-1354

Abstract

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The aim of this paper is to prove the generalized Schoenflies theorem for the class of absolute suspensions. The question whether the finite-dimensional absolute suspensions are homeomorphic to spheres remains open. Partial solution to this question was obtained in [Sz] and [Mi]. Morton Brown gave in [Br] an ingenious proof of the generalized Schoenflies theorem. Careful analysis of his proof reveals that modulo some technical adjustments a similar argument gives an analogous result for the class of absolute suspensions.

How to cite

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David P. Bellamy, and Janusz M. Lysko. "The generalized Schoenflies theorem for absolute suspensions." Colloquium Mathematicae 103.2 (2005): 241-246. <http://eudml.org/doc/283670>.

@article{DavidP2005,
abstract = {The aim of this paper is to prove the generalized Schoenflies theorem for the class of absolute suspensions. The question whether the finite-dimensional absolute suspensions are homeomorphic to spheres remains open. Partial solution to this question was obtained in [Sz] and [Mi]. Morton Brown gave in [Br] an ingenious proof of the generalized Schoenflies theorem. Careful analysis of his proof reveals that modulo some technical adjustments a similar argument gives an analogous result for the class of absolute suspensions.},
author = {David P. Bellamy, Janusz M. Lysko},
journal = {Colloquium Mathematicae},
keywords = {ANR; absolute suspension},
language = {eng},
number = {2},
pages = {241-246},
title = {The generalized Schoenflies theorem for absolute suspensions},
url = {http://eudml.org/doc/283670},
volume = {103},
year = {2005},
}

TY - JOUR
AU - David P. Bellamy
AU - Janusz M. Lysko
TI - The generalized Schoenflies theorem for absolute suspensions
JO - Colloquium Mathematicae
PY - 2005
VL - 103
IS - 2
SP - 241
EP - 246
AB - The aim of this paper is to prove the generalized Schoenflies theorem for the class of absolute suspensions. The question whether the finite-dimensional absolute suspensions are homeomorphic to spheres remains open. Partial solution to this question was obtained in [Sz] and [Mi]. Morton Brown gave in [Br] an ingenious proof of the generalized Schoenflies theorem. Careful analysis of his proof reveals that modulo some technical adjustments a similar argument gives an analogous result for the class of absolute suspensions.
LA - eng
KW - ANR; absolute suspension
UR - http://eudml.org/doc/283670
ER -

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