From A-spaces to arbitrary spaces via spatial fibrous preorders

Abstract

The well known equivalence between preorders and Alexandrov spaces is extended to an equivalence between arbitrary topological spaces and spatial fibrous preorders, a new notion to be introduced.

arXiv commentWork presented at: IX Portuguese Category Seminar, Coimbra, Portugal (1Jul2013); CT2013, Sidney, Australia (11Jul2013); Eilenberg Centenary Conference, Warsaw, Poland (23Jul2013)

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