The generalized Schoenflies theorem for absolute suspensions
Volume 103 / 2005
Colloquium Mathematicum 103 (2005), 241-246
MSC: 54F15, 54C55, 57P05.
DOI: 10.4064/cm103-2-9
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.
