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arXiv · 1011.0079

A new duality theorem for locally compact spaces

Georgi Dimov·Elza Ivanova
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Abstract

In 1962, H. de Vries proved a duality theorem for the category {\bf HC} of compact Hausdorff spaces and continuous maps. The composition of the morphisms of the dual category obtained by him differs from the set-theoretic one. Here we obtain a new category dual to the category {\bf HLC} of locally compact Hausdorff spaces and continuous maps for which the composition of the morphisms is a natural one but the morphisms are multi-valued maps.

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Georgi Dimov, Elza Ivanova. 2010-10-30. A new duality theorem for locally compact spaces. https://arxiv.org/abs/1011.0079

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