A new duality theorem for locally compact spaces

Details A new duality theorem for locally compact spaces A new duality theorem for locally compact spaces

2010-10-30

arxiv.org/abs/1011.0079v1

Mathematics

General Topology

18 pages

Scientific paper

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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