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  • Detecting codimension one manifold factors with the piecewise disjoint arc-disk property and related properties
    Halverson, Denise M. ; Repovš, Dušan, 1954-
    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 ▫$n \ge 4$▫ determined by general position properties, the piecewise disjoint arc-disk property is satisfied.
    Source: Central European Journal of Mathematics. - ISSN 1895-1074 (Vol. 11, iss. 11, 2013, str. 1932-1948)
    Type of material - article, component part
    Publish date - 2013
    Language - english
    COBISS.SI-ID - 16715097

    Link(s):

    http://dx.doi.org/10.2478/s11533-013-0291-z

source: Central European Journal of Mathematics. - ISSN 1895-1074 (Vol. 11, iss. 11, 2013, str. 1932-1948)

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