Compactness Under Constructive Scrutiny

The aim of this thesis is to understand the constructive scope of compactness. We show that it is possible to define, constructively, a meaningful notion of compactness in a more general setting than the uniform/metric space one. Furthermore, we show that it is not possible to define compactness cons...

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Bibliographic Details
Main Author: Diener, Hannes
Language:en
Published: University of Canterbury. Mathematics and Statistics 2008
Online Access:http://hdl.handle.net/10092/1823