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- W1966675316 abstract "The following theorem is the main result of the paper: Theorem. Let G be an Abelian group and m > 0. Let G be a countable family of countable Abelian groups and let D : G → Z + be a function. The following conditions are equivalent: 1. (1) For any CW complex P and any a ϵ H m ( P ; G ) − {0} there is a compactum X and a map π : X → P such that dim X = m , dim H X ⩽ D ( H ) for each H ϵ G and a ϵ im( H ̌ m (X ; G) → H ̌ m (P;G)) . 2. (2) H ̃ k (K(H,D(H));G) = 0 for all k < m and all H ϵ G . As an application, we prove the existence of compacta realizing dimension functions, a result due to A.N. Dranishnikov." @default.
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- W1966675316 date "1995-07-01" @default.
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- W1966675316 title "Realizing dimension functions via homology" @default.
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- W1966675316 doi "https://doi.org/10.1016/0166-8641(94)00105-c" @default.
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