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

Abstract

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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 arc-disk property is satisfied.

How to cite

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Denise 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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