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

• Autorzy: Denise Halverson , Dušan Repovš
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

Kategorie tematyczne

• 53C70: Direct methods ( G -spaces of Busemann, etc.)
• 57N15: Topology of E n , n -manifolds ( 4 n ∞ )
• 57N75: General position and transversality
• 57P99: None of the above, but in this section

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 11
• Strony: 1932-1948

Daty

wydano

2013-11-01

online

2013-08-23

Twórcy

autor

Denise Halverson

• Brigham Young University

autor

Dušan Repovš

• University of Ljubljana

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0291-z