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oai:www.ideals.illinois.edu:2142/16935 2023-07-10 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

Solecki, Slawomir Henson, C. Ward Solecki, Slawomir Kaufman, Robert Rosendal, Christian Saran, Maya 2010-08-20T18:02:21Z 2010-08-20T18:02:21Z 2010-08-20T18:02:21Z 2010-08 For a compact metric space E, Solecki has defined a broad natural class of G-delta ideals of compact sets on E, called G-delta 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 G-delta subsets of E with respect to the representing sets of I; we formulate a conjecture and prove it for several classes of ideals. Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2010-05-14T21:52:12Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Saran_Maya.pdf: 362926 bytes, checksum: 0131c990334841cdb1311ddf4ed3cec1 (MD5) Made available in DSpace on 2010-08-20T18:02:21Z (GMT). No. of bitstreams: 2 Saran_Maya.pdf: 362926 bytes, checksum: 0131c990334841cdb1311ddf4ed3cec1 (MD5) license.txt: 4058 bytes, checksum: aadd087fbc9499ac6438f7efa1f29fdf (MD5) http://hdl.handle.net/2142/16935 en Copyright 2010 Maya Saran G-delta ideals ideals of compact sets Some results on Gδ ideals of compact sets Mathematics 1257 Mathematics 0439 University of Illinois at Urbana-Champaign Dissertation Ph.D. PHD:Mathematics -UIUC 10KS0439PHD