Geodesic
Universal acyclic resolutions for arbitrary coefficient groups
Michael Levin1
1 Department of Mathematics Ben Gurion University of the Negev P.O. Box 653 Be'er Sheva 84105, Israel
Fundamenta Mathematicae, Tome 178 (2003) no. 2, pp. 159-169

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove that for every compactum $X$ and every integer $n \geq 2$ there are a compactum $Z$ of dimension $\leq n+1$ and a surjective $UV^{n-1}$-map $r: Z \to X$ such that for every abelian group $G$ and every integer $k \geq 2$ such that $\mathop {\rm dim}\nolimits _G X \leq k \leq n$ we have $\mathop {\rm dim}\nolimits _G Z \leq k$ and $r$ is $G$-acyclic.
DOI : 10.4064/fm178-2-5
Keywords: prove every compactum every integer geq there compactum dimension leq surjective n map every abelian group every integer geq mathop dim nolimits leq leq have mathop dim nolimits leq g acyclic

Michael Levin 1

1 Department of Mathematics Ben Gurion University of the Negev P.O. Box 653 Be'er Sheva 84105, Israel 
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Michael Levin. Universal acyclic resolutions for arbitrary coefficient groups. Fundamenta Mathematicae, Tome 178 (2003) no. 2, pp. 159-169. doi: 10.4064/fm178-2-5

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