H. L. Bentley
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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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.
Key concepts: Mathematics, Cohomology, Mayer–Vietoris sequence, Axiom, Homology (biology), Pure mathematics, Equivariant cohomology, Čech cohomology