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Mathematics of the USSR-Sbornik, 1972, Volume 18, Issue 2, Pages 342–350
DOI: https://doi.org/10.1070/SM1972v018n02ABEH001777 (Mi sm3236) 		 
The homology of a symmetric relation

A. B. Sosinskii
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DOI: https://doi.org/10.1070/SM1972v018n02ABEH001777
Abstract: A homology theory is presented for the category of sets with a given reflexive and symmetric relation. There is defined in this category the notion of homotopy equivalence; the theory satisfies the analogs of the Eilenberg–Steenrod axioms and yields a theorem on almost fixed points.
Bibliography: 7 titles.
Received: 20.12.1971
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1972, Volume 89(131), Number 2(10), Pages 331–339
Bibliographic databases:
UDC: 513.836
MSC: Primary 18H40; Secondary 55B99, 55C20, 68A25, 94A20
Language: English
Original paper language: Russian
Citation: A. B. Sosinskii, “The homology of a symmetric relation”, Mat. Sb. (N.S.), 89(131):2(10) (1972), 331–339; Math. USSR-Sb., 18:2 (1972), 342–350
Citation in format AMSBIB
\Bibitem{Sos72}
\by A.~B.~Sosinskii
\paper The homology of a~symmetric relation
\jour Mat. Sb. (N.S.)
\yr 1972
\vol 89(131)
\issue 2(10)
\pages 331--339
\mathnet{http://mi.mathnet.ru/sm3236}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=345099}
\zmath{https://zbmath.org/?q=an:0251.55006}
\transl
\jour Math. USSR-Sb.
\yr 1972
\vol 18
\issue 2
\pages 342--350
\crossref{https://doi.org/10.1070/SM1972v018n02ABEH001777}
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    References:87
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