- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:04:49
Commentarii Mathematici Helvetici
Comment. Math. Helv.
CMH
0010-2571
1420-8946
General
10.4171/CMH
http://www.ems-ph.org/doi/10.4171/CMH
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European Mathematical Society Publishing House
Zuerich, Switzerland
© Swiss Mathematical Society
74
1999
1
Approximating $\ell_2$-Betti numbers of an amenable covering by ordinary Betti numbers
B.
Eckmann
Eidgenössische Technische Hochschule, ZÜRICH, SWITZERLAND
Amenable groups, covering spaces, l 2 -homology, Betti numbers
It is shown that the $\ell_2$-Betti numbers of an amenable covering of a finite cell-complex can be approximated by ordinary Betti numbers of the finite Fmlner subcomplexes. This is a new proof, using simple homological arguments, of a recent result of Dodziuk and Mathai.
Algebraic geometry
General
150
155
10.1007/s000140050081
http://www.ems-ph.org/doi/10.1007/s000140050081