Universal acyclic resolutions for arbitrary coefficient groups
نویسنده
چکیده
We prove that for every compactum X and every integer n ≥ 2 there are a compactum Z of dim ≤ n + 1 and a surjective UV n−1-map r : Z −→ X such that for every abelian group G and every integer k ≥ 2 such that dimG X ≤ k ≤ n we have dimG Z ≤ k and r is G-acyclic.
منابع مشابه
Universal acyclic resolutions for finitely generated coefficient groups
We prove that for every compactum X and every integer n ≥ 2 there are a compactum Z of dim ≤ n and a surjective UV n−1-map r : Z −→ X having the property that: for every finitely generated abelian group G and every integer k ≥ 2 such that dimG X ≤ k ≤ n we have dimG Z ≤ k and r is G-acyclic, or equivalently: for every simply connected CW-complex K with finitely generated homotopy groups such th...
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