Fast, Stephen Hardin2014-03-142014-03-141990-12-05etd-02012006-141709http://hdl.handle.net/10919/37227In this thesis we answer a number of unsolved problems in generalized paracompact topological spaces. Examples satisfying the T₄ separation axiom are constructed showing the relationship between the properties B(D, ω₀)-refinability, B(D, λ)-refinability, and weak θ̅-refinability. The properties B(D, λ)-refinability and weak θ̅-refinability are shown to be strictly weaker than B(D, ω₀)-refinability. Sum theorems, mapping theorems, and o—product theorems are obtained for B(D, ω₀)-refinability, weak θ̅-refinability, and several other properties. The σ—product theorem for B(D,ω₀)-refinability, weak θ̅-refinability, and other properties are shown to follow from a new special B(D,ω₀) sum theorem.iv, 60 leavesBTDapplication/pdfenIn CopyrightLD5655.V856 1990.F383Topological spaces -- ResearchDissertationhttp://scholar.lib.vt.edu/theses/available/etd-02012006-141709/