


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 convergencetheoretic argument which, under some conditions, applies not only to compactness but also to corecompactness. We take this as a starting point to a study of the Vietoris construction of dualisable spaces, and of exponentiable spaces.

Date: 
20130115

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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