Concerning paracompact and pointwise paracompact semi-metric spaces

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1968

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The purpose of this thesis is to investigate the consequences of paracompactness and pointwise paracompactness in semi-metric spaces. In the first chapter it is shown that paracompactness implies normality in a regular topological space. The second chapter is concerned with various separability and compactness conditions. The main theorem of the third chapter shows that the closure of a limit compact subset of a regular countably pointwise paracompact semi-metric space is limit compact.

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