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Dal'nevostochnyi Matematicheskii Zhurnal, 2008, Volume 8, Number 1, Pages 96–110
(Mi dvmg40)
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This article is cited in 2 scientific papers (total in 2 papers)
Categorical topological spaces and dimensions
E. E. Skurikhin Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Abstract:
A categorical topological space is a generalized object of an arbitrary Grothendieck site with the structure of its subobjects. The concept of categorical topological space was developed in previous works of author. This paper continuous this theme with an emphasis to applications to dimension theory.
Key words:
Grothendieck topology, sheaves, Grothendieck cohomology, presheaves of sets, dimension.
Received: 25.11.2008
Citation:
E. E. Skurikhin, “Categorical topological spaces and dimensions”, Dal'nevost. Mat. Zh., 8:1 (2008), 96–110
Linking options:
https://www.mathnet.ru/eng/dvmg40 https://www.mathnet.ru/eng/dvmg/v8/i1/p96
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Abstract page: | 350 | Full-text PDF : | 117 | References: | 63 | First page: | 1 |
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