Ideals in Stone-Cech compactifications
| dc.contributor.author | Toko, Wilson Bombe | |
| dc.date.accessioned | 2013-04-04T08:53:19Z | |
| dc.date.available | 2013-04-04T08:53:19Z | |
| dc.date.issued | 2013-04-04 | |
| dc.description | A thesis submitted in ful llment of the requirements for the degree of Doctor of Philosophy in Mathematics School of Mathematics University of the Witwatersrand Johannesburg October, 2012 | en_ZA |
| dc.description.abstract | Let S be an in nite discrete semigroup and S the Stone- Cech compacti cation of S. The operation of S naturally extends to S and makes S a compact right topological semigroup with S contained in the topological center of S. The aim of this thesis is to present the following new results. 1. If S embeddable in a group, then S contains 22jSj pairwise incomparable semiprincipal closed two-sided ideals. 2. Let S be an in nite cancellative semigroup of cardinality and U(S) the set of uniform ultra lters on S. If > !, then there is a closed left ideal decomposition of U(S) such that the corresponding quotient space is homeomorphic to U( ). If = !, then for any connected compact metric space X, there is a closed left ideal decomposition of U(S) with the quotient space homeomorphic to X. | en_ZA |
| dc.identifier.uri | http://hdl.handle.net/10539/12624 | |
| dc.language.iso | en | en_ZA |
| dc.subject.lcsh | Stone-Cech compactification. | |
| dc.title | Ideals in Stone-Cech compactifications | en_ZA |
| dc.type | Thesis | en_ZA |
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