JournalscmhVol. 74, No. 2pp. 173–178

Acyclic covers

  • John J. Millson

    University of Maryland, College Park, USA
Acyclic covers cover
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Abstract

The following question, which is directly related to the Whitehead problem of subcomplexes of acyclic 2-complexes, is studied: If P\frak P is a class of groups, X is a 2-dimensional CW-complex and X' is an acyclic, infinite cyclic cover of X with π1(X)\pi_1(X') in P\frak P , must X' be contractible? A positive answer is given if X is finite and P\frak P is the class of amenable groups.

Cite this article

John J. Millson, Acyclic covers. Comment. Math. Helv. 74 (1999), no. 2, pp. 173–178

DOI 10.1007/S000140050084