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

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Halverson D., Repovš D.

Open Mathematics

2013

tom 11

nr 11

1932-1948

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 arc-disk property is satisfied.

Ograniczanie wyników

1 Open Mathematics

1 Halverson D.

1 Repovš D.

1 2013

Wyniki wyszukiwania

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