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Local homology and cohomology, homology dimension and generalized manifolds. (English) Zbl 0325.57002

MSC:
57Pxx Generalized manifolds
18A30 Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.)
18F20 Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects)
18G20 Homological dimension (category-theoretic aspects)
55N05 Čech types
55N20 Generalized (extraordinary) homology and cohomology theories in algebraic topology
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