This article is cited in 6 scientific papers (total in 6 papers)
Connection homology and cohomology between sets. Enclosure homology and cohomology of a closed set
E. G. Sklyarenko
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.
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Russian Academy of Sciences. Izvestiya Mathematics, 1993, 41:2, 307–335
MSC: Primary 55N07, 55N35, 55N30; Secondary 55-02
E. G. Sklyarenko, “Connection homology and cohomology between sets. Enclosure homology and cohomology of a closed set”, Izv. RAN. Ser. Mat., 56:5 (1992), 1040–1071; Russian Acad. Sci. Izv. Math., 41:2 (1993), 307–335
Citation in format AMSBIB
\paper Connection homology and cohomology between sets. Enclosure homology and cohomology of a closed set
\jour Izv. RAN. Ser. Mat.
\jour Russian Acad. Sci. Izv. Math.
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E. G. Sklyarenko, “Hyper(co)homology for exact left covariant functors and a homology theory for topological spaces”, Russian Math. Surveys, 50:3 (1995), 575–611
E. G. Sklyarenko, “On enclosure homology”, Sb. Math., 188:2 (1997), 299–306
E. G. Sklyarenko, “The Thom isomorphism for nonorientable bundles”, J. Math. Sci., 136:5 (2006), 4166–4200
Yu. T. Lisitsa, “Theory of spectral sequences. II”, J. Math. Sci., 146:1 (2007), 5530–5551
E. G. Sklyarenko, “A topological version of the argument principle and Rouche's theorem”, J. Math. Sci., 146:1 (2007), 5592–5602
Lisica J., “Strong Bonding Homology and Cohomology”, Topology Appl., 153:2-3 (2005), 394–447
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