A Generalization of De Vries Duality Theorem

TL;DR

This paper extends De Vries duality theorem by defining a new category that is dually equivalent to the category of all locally compact Hausdorff spaces and perfect maps, broadening the theorem's applicability.

Contribution

It introduces a generalized category that establishes a duality with locally compact Hausdorff spaces and perfect maps, expanding the classical De Vries duality.

Findings

New category dually equivalent to locally compact Hausdorff spaces

Extension of De Vries duality theorem to broader class of spaces

Framework for duality with perfect maps

Abstract

Generalizing Duality Theorem of H. de Vries, we define a category which is dually equivalent to the category of all locally compact Hausdorff spaces and all perfect maps between them.