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Browsing Auburn Theses and Dissertations by Author "Zenor, Phillip"

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I-weight, special base properties and related covering properties 

Bailey, Bradley (2005-12-15)
Alleche, Arhangel'ski\u{\i} and Calbrix defined the notion of a sharp base and posed the question: Is there a regular space with a sharp base whose product with [0, 1] does not have a sharp base? Chapter 2 contains an ...

On the role of 1-LC and semi 1-LC properties in determining the fundamental group of a one point union of spaces 

Moore, Emilia (2006-05-15)
Concerning the fundamental group of spaces written as a union of two topological spaces, the result by Seifert and van Kampen is well known and frequently used. Over the years there have been various theorems published ...