Survey on the Generalized R. L. Moore Problem

Details Survey on the Generalized R. L. Moore Problem Survey on the Generalized R. L. Moore Problem

2012-01-18

arxiv.org/abs/1201.3897v1

Mathematics

Geometric Topology

Scientific paper

We give an updated extended survey of results related to the celebrated unsolved generalized R. L. Moore problem. In particular, we address the problem of characterizing codimension one manifold factors, i.e. spaces $X$ having the property that $X \times \mathbb{R}$ is a topological manifold. A main part of the paper is devoted to many efficient general position techniques, which have been used to solve special cases of this problem.

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