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On a class of categorical topological spaces. (English. Russian original) Zbl 1186.18007

Russ. Math. Surv. 63, No. 1, 170-172 (2008); translation from Usp. Mat. Nauk. 63, No. 1, 167-168 (2008).

MSC:

18F20 Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects)
18B30 Categories of topological spaces and continuous mappings (MSC2010)
55N30 Sheaf cohomology in algebraic topology
54B30 Categorical methods in general topology
54B40 Presheaves and sheaves in general topology
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