This article is cited in 6 papers

Connection homology and cohomology between sets. Enclosure homology and cohomology of a closed set

E. G. Sklyarenko


Abstract: The notions of connection homology and cohomology between complementary subsets of a topological space are defined, using passage to the limit with respect to boundary-open sets, i.e., complements of pairs of closed subsets of the given complementary sets. The homology and cohomology groups so obtained enter naturally into new exact homology and cohomology sequences.

UDC: 515.142.21

MSC: Primary 55N07, 55N35, 55N30; Secondary 55-02

Received: 01.03.1990

 English version: Russian Academy of Sciences. Izvestiya Mathematics, 1993, 41:2, 307–335

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