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  • Decompositions of ▫${\mathbb R}^n$▫, ▫$n \ge 4$▫, into convex sets generate codimension 1 manifold factors
    Halverson, Denise M., 1966- ; Repovš, Dušan, 1954-
    We show that if ▫$G$▫ is an upper semicontinuous decomposition ▫${\mathbb R}^n$▫, ▫$n \ge 4$▫, into convex sets, then the quotient space ▫${\mathbb R}^n /G$▫ is a codimension 1 manifold factor. In ... particular, we show that ▫${\mathbb R}^n /G$▫ has the disjoint arc-disk property.
    Source: Mediterranean journal of mathematics. - ISSN 1660-5446 (Vol. 10, iss. 2, 2013, str. 1101-1106)
    Type of material - article, component part
    Publish date - 2013
    Language - english
    COBISS.SI-ID - 16618585

    Link(s):

    http://dx.doi.org/10.1007/s00009-012-0197-1

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