On Alexander's Subbase Lemma
 
 
Description:  Alexander's Subbase Lemma (due to James Waddell Alexander II) is a classical result of topology stating that a topological space X is compact provided that X is compact with respect to a subbasis, that is, every subbasic cover of X has a finite subcover. In this talk we will give a very simple convergence-theoretic argument which, under some conditions, applies not only to compactness but also to core-compactness. We take this as a starting point to a study of the Vietoris construction of dualisable spaces, and of exponentiable spaces.
Date:  2013-01-15
Start Time:   15:00
Speaker:  Dirk Hofmann (U. Aveiro)
Institution:  Universidade de Aveiro
Place:  Sala 5.5
Research Groups: -Algebra, Logic and Topology
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