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A Pseudocompact Completely Regular Frame which is not Spatial |
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| Authors: | Themba Dube Stavros Iliadis Jan van Mill Inderasan Naidoo |
| Affiliation: | 1. Department of Mathematical Sciences, University of South Africa, P.O. Box 392, 0003, Unisa, South Africa 2. Department of General Topology and Geometry, Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991, Russia 3. Faculty of Sciences, VU University Amsterdam, De Boelelaan 1081A, 1081, HV Amsterdam, Netherlands 4. Faculty of Electrical Engineering, Mathematics and Computer Science, TU Delft, Postbus 5031, 2600, GA Delft, Netherlands |
| Abstract: | Compact regular frames are always spatial. In this note we present a method for constructing non-spatial frames. As an application we show that there is a countably compact (and hence pseudocompact) completely regular frame which is not spatial. |
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