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

Access to Document

10.1007/BF02776057

Cite this

@article{f0dc91e8674b4f8ebd3a30a7602b8f37,

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.",

author = "Michael Levin",

year = "2003",

month = jan,

day = "1",

doi = "10.1007/BF02776057",

language = "English",

volume = "135",

pages = "193--203",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

}

TY - JOUR

T1 - Acyclic resolutions for arbitrary groups

AU - Levin, Michael

PY - 2003/1/1

Y1 - 2003/1/1

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 - http://www.scopus.com/inward/record.url?scp=0042412539&partnerID=8YFLogxK

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

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this