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Title:Some Results on G-Delta Ideals of Compact Sets
Author(s):Saran, Maya
Doctoral Committee Chair(s):Solecki, Slawomir
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Theoretical Mathematics
Abstract:For a compact metric space E, Solecki has defined a broad natural class of Gdelta ideals of compact sets on E, called Gdelta ideals with property (*), and has shown that any ideal I in this class can be represented through the ideal of nowhere dense subsets of a closed subset F of the hyperspace of compact subsets of E. In this thesis we show that the closed set F in this representation can be taken to be closed upwards, i.e., it contains the compact supersets of its members. We examine the behaviour of Gdelta subsets of E with respect to the representing sets of I; we formulate a conjecture and prove it for several classes of ideals.
Issue Date:2010
Type:Text
Language:English
Description:71 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2010.
URI:http://hdl.handle.net/2142/86939
Other Identifier(s):(MiAaPQ)AAI3452263
Date Available in IDEALS:2015-09-28
Date Deposited:2010


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