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Filtering by: Committee Member Bogley, William Remove constraint Committee Member: Bogley, William Academic Affiliation Mathematics Remove constraint Academic Affiliation: Mathematics

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  • On the Topologies of Moduli Spaces of Polygons: A Taxonomic Approach

    Creator:
    Krughoff, Stephen A.
    Abstract:
    Consider a polygon lying in the Euclidean plane with labeled edge lengths. The moduli space of polygons is the space of all polygons with the same labeled edge lengths, modulo orientation preserving isometries. It is well known that this space is generically a smooth manifold. For certain combinations of edge...
    Resource Type:
    Dissertation
    Full Text:
    . To Dr. Bill Bogley for breathing life into group theory. To Dr. Tevian Dray and Dr. Juha Pohjanpelto

  • Inverse limits and full families

    Creator:
    Fassett, Jonathon E.
    Resource Type:
    Dissertation
    Full Text:
    my committee members William Bogley, Robert Burton, and Donald Solmon for their instruction and

  • Computing entropy for Z²-actions

    Creator:
    Pierce, Larry A.
    Abstract:
    For a certain class of Z²-actions, we provide a proof of a conjecture that the ratio of the Perron eigenvalues of the transfer matrices of the free boundary restrictions converge to the entropy of that action. Also, a novel method for computing the entropy of Z²-actions is conjectured.
    Resource Type:
    Dissertation

  • 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:
    William Bogley and Professor Zhang Eugene. I am grateful to Professor Tomas Schmidt, Professor Bent

  • Enumeration Problems on Symmetries of Riemann Surfaces

    Creator:
    Camacho, Charles A.
    Abstract:
    We describe two combinatorial problems in the theory of automorphism groups of compact Riemann surfaces of genus two or greater: enumerate the topological actions of a finite group on surfaces and determine the set of genera of surfaces admitting such a group action, called the genus spectrum. We illustrate results...
    Resource Type:
    Dissertation
    Full Text:
    thank William Bogley for suggesting I study a family of finite groups; Thomas Schmidt for connecting me

  • 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:
    thanks to the members of my Graduate committee, Professors William A. Bogley, Mary Flahive, Christine