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

Denise Halverson; Dušan Repovš

Open Mathematics (2013)

- Volume: 11, Issue: 11, page 1932-1948
- ISSN: 2391-5455

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topDenise Halverson, and Dušan Repovš. "Detecting codimension one manifold factors with the piecewise disjoint arc-disk property and related properties." Open Mathematics 11.11 (2013): 1932-1948. <http://eudml.org/doc/269771>.

@article{DeniseHalverson2013,

abstract = {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.},

author = {Denise Halverson, Dušan Repovš},

journal = {Open Mathematics},

keywords = {Piecewise disjoint arc-disk property; General position; Codimension one manifold factor; Generalized Moore Problem; Totally wild flow; Ghastly generalized manifold; Plentiful 2-manifolds property; 0-stitched disks; δ-fractured maps; Fractured maps property; Crinkled ribbons property; Fuzzy ribbons property; Disjoint homotopies property; Disjoint topographies property; Disjoint concordances; piecewise disjoint arc-disk property; general position; codimension one manifold factor; generalized Moore problem; totally wild flow; ghastly generalized manifold; plentiful 2-manifolds property; -fractured maps; fractured maps property; crinkled ribbons property; fuzzy ribbons property; disjoint homotopies property; disjoint topographies property; disjoint concordances},

language = {eng},

number = {11},

pages = {1932-1948},

title = {Detecting codimension one manifold factors with the piecewise disjoint arc-disk property and related properties},

url = {http://eudml.org/doc/269771},

volume = {11},

year = {2013},

}

TY - JOUR

AU - Denise Halverson

AU - Dušan Repovš

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

JO - Open Mathematics

PY - 2013

VL - 11

IS - 11

SP - 1932

EP - 1948

AB - 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.

LA - eng

KW - Piecewise disjoint arc-disk property; General position; Codimension one manifold factor; Generalized Moore Problem; Totally wild flow; Ghastly generalized manifold; Plentiful 2-manifolds property; 0-stitched disks; δ-fractured maps; Fractured maps property; Crinkled ribbons property; Fuzzy ribbons property; Disjoint homotopies property; Disjoint topographies property; Disjoint concordances; piecewise disjoint arc-disk property; general position; codimension one manifold factor; generalized Moore problem; totally wild flow; ghastly generalized manifold; plentiful 2-manifolds property; -fractured maps; fractured maps property; crinkled ribbons property; fuzzy ribbons property; disjoint homotopies property; disjoint topographies property; disjoint concordances

UR - http://eudml.org/doc/269771

ER -

## References

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