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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
Linking options:
  • https://www.mathnet.ru/eng/tm375
  • https://www.mathnet.ru/eng/tm/v239/p289
    • This publication is cited in the following 6 articles:
    1. E. E. Skurikhin, “Kategornaya topologiya normalnykh struktur na mnozhestvakh”, Sib. elektron. matem. izv., 15 (2018), 1719–1734  mathnet  crossref
    2. E. E. Skurikhin, A. G. Sukhonos, “Grothendieck topologies on Chu spaces”, Siberian Adv. Math., 19:3 (2009), 192–210  mathnet  crossref  mathscinet  elib  elib
    3. E. E. Skurikhin, “On a class of categorical topological spaces”, Russian Math. Surveys, 63:1 (2008), 170–172  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    4. E. E. Skurikhin, “Kategornye topologicheskie prostranstva i razmernosti”, Dalnevost. matem. zhurn., 8:1 (2008), 96–110  mathnet
    5. E. E. Skurikhin, A. G. Sukhonos, “Kogomologii i razmernost prostranstv Chu”, Dalnevost. matem. zhurn., 6:1-2 (2005), 14–22  mathnet
    6. E. E. Skurikhin, “Sheaf cohomology and the dimension of uniform spaces”, Russian Math. Surveys, 58:4 (2003), 800–801  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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