V. Baladze, L. Turmanidze

On Homology and Cohomology Groups of Remainders

Abstract:
Border homology and cohomology groups of pairs of uniform spaces are defined and studied. These groups give an intrinsic characterization of Čech type homology and cohomology groups of the remainder of a uniform space.

Keywords:
Čech homology, Čech cohomology, uniform space, compactification, completion, remainder.

MSC 2000: Primary: 54D35, 54D40; secondary:  55N05