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    The Lattice of Compactifications of a Locally Compact Space

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    Eichelberger_ku_0099M_14653_DATA_1.pdf (266.2Kb)
    Issue Date
    2016-05-31
    Author
    Eichelberger, Luke Alan
    Publisher
    University of Kansas
    Format
    53 pages
    Type
    Thesis
    Degree Level
    M.A.
    Discipline
    Mathematics
    Rights
    Copyright held by the author.
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    Abstract
    This is an expanded version of [5] by Magill. The results of [5] are proven with greater detail and any result stated in [5] but not proven is proven here. Let K (X) and K (Y) be used to indicate the lattice of Hausdorff compactifications of locally compact, non-compact spaces X and Y with X and Y Tychonoff. This paper primarily concerns how a lattice isomorphism between K (X) and K (Y) exists if and only if a homeomorphism between particular extensions of X and Y exists with specified properties. On the way to proving the main results, we prove several lemmas about β − families of compact extensions of Tychonoff spaces. Some of the Lemmas slightly generalize corresponding lemmas in [5]. Efforts are made to make this paper self- contained.
    URI
    http://hdl.handle.net/1808/21800
    Collections
    • Mathematics Dissertations and Theses [113]
    • Theses [3710]

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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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