Acyclic resolutions for arbitrary groups

Michael Levin

doi:10.1007/BF02776057

Acyclic resolutions for arbitrary groups

Michael Levin

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We prove that for every abelian group G and every compactum X with dim_GX ≤ n ≥ 2 there is a G-acyclic resolution r: Z → X from a compactum Z with dime_G Z ≤ n and dim Z ≤ n + 1 onto X.

Original language	English
Pages (from-to)	193-203
Number of pages	11
Journal	Israel Journal of Mathematics
Volume	135
DOIs	https://doi.org/10.1007/BF02776057
State	Published - 1 Jan 2003

ASJC Scopus subject areas

General Mathematics

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title = "Acyclic resolutions for arbitrary groups",

abstract = "We prove that for every abelian group G and every compactum X with dimGX ≤ n ≥ 2 there is a G-acyclic resolution r: Z → X from a compactum Z with dimeG Z ≤ n and dim Z ≤ n + 1 onto X.",

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year = "2003",

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doi = "10.1007/BF02776057",

language = "English",

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journal = "Israel Journal of Mathematics",

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AU - Levin, Michael

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N2 - We prove that for every abelian group G and every compactum X with dimGX ≤ n ≥ 2 there is a G-acyclic resolution r: Z → X from a compactum Z with dimeG Z ≤ n and dim Z ≤ n + 1 onto X.

AB - We prove that for every abelian group G and every compactum X with dimGX ≤ n ≥ 2 there is a G-acyclic resolution r: Z → X from a compactum Z with dimeG Z ≤ n and dim Z ≤ n + 1 onto X.

UR - https://www.scopus.com/pages/publications/0042412539

U2 - 10.1007/BF02776057

DO - 10.1007/BF02776057

M3 - Article

AN - SCOPUS:0042412539

SN - 0021-2172

VL - 135

SP - 193

EP - 203

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

ER -

Acyclic resolutions for arbitrary groups

Abstract

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