2017/03/23 by Vladimer Baladze, Baladze, Vladimer
Mathematics · #55N05 #55N20 #55N40 #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT #msc:55N05 #msc:55N20 #msc:55N40
paper · pdf · doi:10.48550/arxiv.1703.07986
arxiv created 2017/03/23 · arxiv updated 2017/03/24
In the paper the Čech border homology and cohomology groups of closed pairs of normal spaces are constructed and investigated. These groups give intrinsic characterizations of Čech homology and cohomology groups based on finite open coverings, homological and cohomological coefficients of cyclicity, small and large cohomological dimensions of remainders of Stone-Čech compactifications of metrizable spaces.