Universal acyclic resolutions for arbitrary coefficient groups

• Autorzy: Michael Levin
• Języki publikacji: EN

Abstrakty

EN

We prove that for every compactum X and every integer n ≥ 2 there are a compactum Z of dimension ≤ 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 $dim_G X ≤ k ≤ n$ we have $dim_G Z ≤ k$ and r is G-acyclic.

Kategorie tematyczne

• 55M10: Dimension theory
• 54F45: Dimension theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2003
• Tom: 178
• Numer: 2
• Strony: 159-169

Daty

wydano

2003

Twórcy

autor

Michael Levin

• Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, Be'er Sheva 84105, Israel

Identyfikatory

DOI

10.4064/fm178-2-5