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Russian Academy of Sciences. Izvestiya Mathematics, 1993, Volume 41, Issue 2, Pages 307–335
DOI: https://doi.org/10.1070/IM1993v041n02ABEH002263 (Mi im918) 		 
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
English version PDF (1872 kB) Citations (6)
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DOI: https://doi.org/10.1070/IM1993v041n02ABEH002263
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.
Received: 01.03.1990
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1992, Volume 56, Issue 5, Pages 1040–1071
Bibliographic databases:
UDC: 515.142.21
MSC: Primary 55N07, 55N35, 55N30; Secondary 55-02
Language: English
Original paper language: Russian
Citation: 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
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\by E.~G.~Sklyarenko
\paper Connection homology and cohomology between sets. Enclosure homology and cohomology of a closed set
\jour Izv. RAN. Ser. Mat.
\yr 1992
\vol 56
\issue 5
\pages 1040--1071
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\zmath{https://zbmath.org/?q=an:0804.55008}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1993IzMat..41..307S}
\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1993
\vol 41
\issue 2
\pages 307--335
\crossref{https://doi.org/10.1070/IM1993v041n02ABEH002263}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MH85700007}
Linking options:
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  • https://doi.org/10.1070/IM1993v041n02ABEH002263
  • https://www.mathnet.ru/eng/im/v56/i5/p1040
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:282
    Russian version PDF:96
    English version PDF:9
    References:48
    First page:2
     
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