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  • An intrinsic codimension two cellular decomposition of the Hilbert cube

    Creator:
    Ghimire, Kailash C.
    Abstract:
    Cellular sets in the Hilbert cube are the intersection of nested sequences of normal cubes. One way of getting cellular maps on the Hilbert cube is by decomposing the Hilbert cube into cellular sets and using a quotient map. By using a cellular decomposition of the Hilbert cube, an example...
    Resource Type:
    Dissertation
    Full Text:
    characterization of Hilbert cube manifolds, it is shown that the decomposi- tion space is not the Hilbert cube

  • A thin codimension-one decomposition of the Hilbert Cube

    Creator:
    Phon-On, Aniruth
    Abstract:
    For cell-like upper semicontinuous(usc) decompositions G of finite dimensional manifolds M, the decomposition space M/G turns out to be an ANR provided M/G is finite dimensional ([Dav07], page 129 ). Furthermore, if M/G is finite dimensional and has the Disjoint Disks Property (DDP), then M/G is homeomorphic to M ([Dav07],...
    Resource Type:
    Dissertation
    Full Text:
    Hilbert Cube Q which yield a quotient space X that is not homeo- morphic to Q and that has the property