A new duality theorem for locally compact spaces
General Topology
2010-11-02 v1 Category Theory
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.
Cite
@article{arxiv.1011.0079,
title = {A new duality theorem for locally compact spaces},
author = {Georgi Dimov and Elza Ivanova},
journal= {arXiv preprint arXiv:1011.0079},
year = {2010}
}
Comments
18 pages