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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2002, Volume 239, Pages 289–317 (Mi tm375)  
This article is cited in 6 scientific papers (total in 6 papers)

Sheaf Cohomology and Dimension of Ordered Sets

E. E. Skurikhin

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Full-text PDF (425 kB) Citations (6)
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Abstract: The general concept of flabbiness and flabby dimension in abelian categories and, as particular cases, flabby and soft dimensions of quasiordered sets are considered. The sheaf theory technique is developed to the level that allows one to obtain the basic theorem of the cohomological theory of dimension, including flabby and Bredon's dimensions.
Received in April 2001
Bibliographic databases:
UDC: 512.667.5+515.142.2
Language: Russian
Citation: E. E. Skurikhin, “Sheaf Cohomology and Dimension of Ordered Sets”, Discrete geometry and geometry of numbers, Collected papers. Dedicated to the 70th birthday of professor Sergei Sergeevich Ryshkov, Trudy Mat. Inst. Steklova, 239, Nauka, MAIK «Nauka/Inteperiodika», M., 2002, 289–317; Proc. Steklov Inst. Math., 239 (2002), 273–300
Citation in format AMSBIB
\Bibitem{Sku02}
\by E.~E.~Skurikhin
\paper Sheaf Cohomology and Dimension of Ordered Sets
\inbook Discrete geometry and geometry of numbers
\bookinfo Collected papers. Dedicated to the 70th birthday of professor Sergei Sergeevich Ryshkov
\serial Trudy Mat. Inst. Steklova
\yr 2002
\vol 239
\pages 289--317
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm375}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1975151}
\zmath{https://zbmath.org/?q=an:1066.18010}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2002
\vol 239
\pages 273--300
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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