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Displaying similar documents to “Codimension 2 fibrators that are closed under finite product.”

Detecting codimension one manifold factors with the piecewise disjoint arc-disk property and related properties

Denise Halverson, Dušan Repovš (2013)

Open Mathematics

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We show that all finite-dimensional resolvable generalized manifolds with the piecewise disjoint arc-disk property are codimension one manifold factors. We then show how the piecewise disjoint arc-disk property and other general position properties that detect codimension one manifold factors are related. We also note that in every example presently known to the authors of a codimension one manifold factor of dimension n ≥ 4 determined by general position properties, the piecewise disjoint...