Paper read at the Symposium on Categorical Algebra and Topology University of Cape Town 29 June—3 July 1981

HOMOLOGY AND COHOMOLOGY FOR MEROTOPIC AND NEARNESS SPACES

Published in: Quaestiones Mathematicae
Volume 6 , issue 1-3 , 1983 , pages: 27–47

DOI: 10.1080/16073606.1983.9632290

Author(s): H.L. Bentley , USA

Keywords: 54E17 , 54E15 , 55N35

Abstract

It is shown that the Alexander cohomology groups for merotopic spaces satisfy certain variants of the Eilenberg—Steenrod axioms for a cohomology theory. Furthermore, for a nearness space, the homology and cohomology groups coincide with the corresponding groups of its completion.

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