## Files in this item

FilesDescriptionFormat

application/pdf

3452263.pdf (683kB)
(no description provided)PDF

## 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
﻿