Spaces with Vanishing ℓ2-Homology and their Fundamental Groups (after Farber and Weinberger)

Nigel Higson; John Roe; Thomas Schick

doi:10.1023/A:1012018013481

Spaces with Vanishing ℓ²-Homology and their Fundamental Groups (after Farber and Weinberger)

Nigel Higson, John Roe, Thomas Schick

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11 Scopus citations

Abstract

We characterize those groups which can occur as the fundamental groups of finite CW-complexes with vanishing ℓ²-homology (the first examples of such groups were obtained by Farber and Weinberger).

Original language	English (US)
Pages (from-to)	335-343
Number of pages	9
Journal	Geometriae Dedicata
Volume	87
Issue number	1-3
DOIs	https://doi.org/10.1023/A:1012018013481
State	Published - 2001

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1023/A:1012018013481

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title = "Spaces with Vanishing ℓ2-Homology and their Fundamental Groups (after Farber and Weinberger)",

abstract = "We characterize those groups which can occur as the fundamental groups of finite CW-complexes with vanishing ℓ2-homology (the first examples of such groups were obtained by Farber and Weinberger).",

author = "Nigel Higson and John Roe and Thomas Schick",

year = "2001",

doi = "10.1023/A:1012018013481",

language = "English (US)",

volume = "87",

pages = "335--343",

journal = "Geometriae Dedicata",

issn = "0046-5755",

publisher = "Springer Netherlands",

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T1 - Spaces with Vanishing ℓ2-Homology and their Fundamental Groups (after Farber and Weinberger)

AU - Higson, Nigel

AU - Roe, John

AU - Schick, Thomas

PY - 2001

Y1 - 2001

N2 - We characterize those groups which can occur as the fundamental groups of finite CW-complexes with vanishing ℓ2-homology (the first examples of such groups were obtained by Farber and Weinberger).

AB - We characterize those groups which can occur as the fundamental groups of finite CW-complexes with vanishing ℓ2-homology (the first examples of such groups were obtained by Farber and Weinberger).

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U2 - 10.1023/A:1012018013481

DO - 10.1023/A:1012018013481

M3 - Article

AN - SCOPUS:0042830548

SN - 0046-5755

VL - 87

SP - 335

EP - 343

JO - Geometriae Dedicata

JF - Geometriae Dedicata

IS - 1-3

ER -

Spaces with Vanishing ℓ²-Homology and their Fundamental Groups (after Farber and Weinberger)

Abstract

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