%0 Journal Article
%T Detecting codimension one manifold factors with topographical techniques
%A Denise M. Halverson
%A Du£¿an Repov£¿
%J Mathematics
%D 2009
%I arXiv
%R 10.1016/j.topol.2009.08.023
%X We prove recognition theorems for codimension one manifold factors of dimension $n \geq 4$. In particular, we formalize topographical methods and introduce three ribbons properties: the crinkled ribbons property, the twisted crinkled ribbons property, and the fuzzy ribbons property. We show that $X \times \mathbb{R}$ is a manifold in the cases when $X$ is a resolvable generalized manifold of finite dimension $n \geq 3$ with either: (1) the crinkled ribbons property; (2) the twisted crinkled ribbons property and the disjoint point disk property; or (3) the fuzzy ribbons property.
%U http://arxiv.org/abs/0909.3166v1