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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm103-2-9,
author = {David P. Bellamy and Janusz M. Lysko},
title = {The generalized Schoenflies theorem for absolute suspensions},
journal = {Colloquium Mathematicae},
volume = {103},
year = {2005},
pages = {241-246},
zbl = {1085.54023},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm103-2-9}
}
David P. Bellamy; Janusz M. Lysko. The generalized Schoenflies theorem for absolute suspensions. Colloquium Mathematicae, Tome 103 (2005) pp. 241-246. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm103-2-9/