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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2008 Volume 8, Number 1, Pages 96–110 (Mi dvmg40)

This article is cited 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.

UDC: 512.737, 512.122.8

MSC: Primary 54B40; Secondary 54B30 55N30

Received: 25.11.2008



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