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Description
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 |
This item appears in the following Collection(s)
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Dissertations and Theses - Mathematics
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Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois