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

被引:0
|
作者
Halverson, Denise M. [1 ]
Repovs, Dusan [2 ,3 ]
机构
[1] Brigham Young Univ, Dept Math, Provo, UT 84602 USA
[2] Univ Ljubljana, Fac Educ, Ljubljana 1001, Slovenia
[3] Univ Ljubljana, Fac Math & Phys, Ljubljana 1001, Slovenia
来源
关键词
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; delta-fractured maps; Fractured maps property; Crinkled ribbons property; Fuzzy ribbons property; Disjoint homotopies property; Disjoint topographies property; Disjoint concordances; HOMOTOPIES PROPERTY; DECOMPOSITIONS; COLLECTIONS; CONTINUA;
D O I
10.2478/s11533-013-0291-z
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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 a parts per thousand yen 4 determined by general position properties, the piecewise disjoint arc-disk property is satisfied.
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页码:1932 / 1948
页数:17
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