Paper read at the Second Symposium on Categorical Topology at the University of Cape Town 9–13 August 1976

THE FORGETFUL FUNCTOR Cont → Prox IS TOPOLOGICAL

Published in: Quaestiones Mathematicae
Volume 2 , issue 1-3 , 1977 , pages: 45–57

DOI: 10.1080/16073606.1977.9632533

Author(s): H.L. Bentley , U.S.A. , H. Herrlich , Federal Republic of Germany

Keywords: 54E05 , 54E15 , 54D35 , 18A99

Abstract

It is shown that the forgetful functor from the category of contiguity spaces to the category of generalized proximity spaces is topological, and that the right adjoint right inverse of this functor extends the inverse of the forgetful functor from the category of totally bounded uniform spaces to the category of proximity spaces.

« NORMAL NEARNESS SPACES

ON CERTAIN FACTORIZATIONS OF FUNCTORS INTO THE CATEGORY OF QUASI-UNIFORM SPACES »