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    Examples and theorems for generalized paracompact topological spaces

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    LD5655.V856_1990.F383.pdf (2.062Mb)
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    Date
    1990-12-05
    Author
    Fast, Stephen Hardin
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    Abstract
    In this thesis we ansWer a number of unsolved problems in generalized paracompact topological spaces. Examples satisfying the Τ₄ separation axiom are constructed showing the relationship between the properties B(D,Ï o)-refinability, B( D,λ) -refinability, and weak θ-refinability. The properties B(D,λ)-refinability and weak θ-refinability are shown to be strictly weaker than B(D,Ï o)-refinability. Sum theorems, mapping theorems, and δ-product theorems are obtained for B(D,Ï o)-refinability, weak θ-refinability, and several other properties. The δ-product theorem for B(D,Ï o)-refinability, weak δ-refinability, and other properties are shown to follow from a new special B(D,Ï o) sum theorem.
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    http://hdl.handle.net/10919/37227
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    • Doctoral Dissertations [14863]

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