From A-spaces to arbitrary spaces via spatial fibrous preorders

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