Displaying similar documents to “On absolute fixed-point sets”

The generalized Schoenflies theorem for absolute suspensions

David P. Bellamy, Janusz M. Lysko (2005)

Colloquium Mathematicae

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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...