Title: Properties of Poulsen simplices Author: Zdeněk Jaroň Department: Department of Mathematical Analysis Supervisor: Doc. RNDr. Jiří Spurný, Ph.D. Abstract: In the present thesis, we study a generalisation of concept of the Poulsen simplex in general, non-metrizable case. First, for any given simplex F we con- struct a new one S, containing F as a face, having dense set of extreme points and preserving some important properties of F. In the next part, we employ this con- struction to build up, for any given infinite cardinal κ, two simplices S1, S2 with dense extreme boundary, with density character equal to κ and with spaces of affine functions Ac (S1) and Ac (S2) having the same density character, but which are not affinely homeomorphic. Keywords: Poulsen simplex, projective limit, Helly space
| Identifer | oai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:305093 |
| Date | January 2012 |
| Creators | Jaroň, Zdeněk |
| Contributors | Spurný, Jiří, Kurka, Ondřej |
| Source Sets | Czech ETDs |
| Language | Czech |
| Detected Language | English |
| Type | info:eu-repo/semantics/masterThesis |
| Rights | info:eu-repo/semantics/restrictedAccess |
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