Rational acyclic resolutions

Michael Levin

doi:10.2140/agt.2005.5.219

Rational acyclic resolutions

Michael Levin

Department of Mathematics

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

25 Downloads (Pure)

Abstract

Let X be a compactum such that dim_Q X < n+1, n>1. We prove that there is a Q-acyclic resolution r: Z-->X from a compactum Z of dim < n+1. This allows us to give a complete description of all the cases when for a compactum X and an abelian group G such that dim_G X < n+1, n>1 there is a G-acyclic resolution r: Z-->X from a compactum Z of dim < n+1.

Original language	English
Pages (from-to)	219-235
Journal	Algebraic and Geometric Topology
Volume	5
DOIs	https://doi.org/10.2140/agt.2005.5.219
State	Published - 2005

Keywords

math.GT
math.GN
55M10, 54F45

Access to Document

10.2140/agt.2005.5.219

Cite this

@article{ce67318ed7dd42dfb68950e4800b6363,

title = "Rational acyclic resolutions",

abstract = " Let X be a compactum such that dim\_Q X < n+1, n>1. We prove that there is a Q-acyclic resolution r: Z-->X from a compactum Z of dim < n+1. This allows us to give a complete description of all the cases when for a compactum X and an abelian group G such that dim\_G X < n+1, n>1 there is a G-acyclic resolution r: Z-->X from a compactum Z of dim < n+1. ",

keywords = "math.GT, math.GN, 55M10, 54F45",

author = "Michael Levin",

note = "Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-12.abs.html",

year = "2005",

doi = "10.2140/agt.2005.5.219",

language = "English",

volume = "5",

pages = "219--235",

journal = "Algebraic and Geometric Topology",

issn = "1472-2747",

publisher = "Mathematical Sciences Publishers",

}

TY - JOUR

T1 - Rational acyclic resolutions

AU - Levin, Michael

N1 - Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-12.abs.html

PY - 2005

Y1 - 2005

N2 - Let X be a compactum such that dim_Q X < n+1, n>1. We prove that there is a Q-acyclic resolution r: Z-->X from a compactum Z of dim < n+1. This allows us to give a complete description of all the cases when for a compactum X and an abelian group G such that dim_G X < n+1, n>1 there is a G-acyclic resolution r: Z-->X from a compactum Z of dim < n+1.

AB - Let X be a compactum such that dim_Q X < n+1, n>1. We prove that there is a Q-acyclic resolution r: Z-->X from a compactum Z of dim < n+1. This allows us to give a complete description of all the cases when for a compactum X and an abelian group G such that dim_G X < n+1, n>1 there is a G-acyclic resolution r: Z-->X from a compactum Z of dim < n+1.

KW - math.GT

KW - math.GN

KW - 55M10, 54F45

U2 - 10.2140/agt.2005.5.219

DO - 10.2140/agt.2005.5.219

M3 - Article

SN - 1472-2747

VL - 5

SP - 219

EP - 235

JO - Algebraic and Geometric Topology

JF - Algebraic and Geometric Topology

ER -

Rational acyclic resolutions

Abstract

Keywords

Access to Document

Fingerprint

Cite this