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- Title
On the classification of fake lens spaces.
- Authors
Macko, Tibor; Wegner, Christian
- Abstract
In the first part of the paper we present a topological classification of fake lens spaces of dimension ≥ 5 whose fundamental group is the cyclic group of order any N ≥ 2. The classification is stated in terms of the simple structure sets in the sense of surgery theory. The results use and extend the results of Wall and others in the cases N = 2 and N odd and the results of the authors of the present paper in the case N= 2 K. In the second part we study the suspension map between the simple structure sets of lens spaces of different dimensions. As an application we obtain an inductive geometric description of the torsion invariants of fake lens spaces.
- Subjects
TOPOLOGICAL spaces; INVARIANTS (Mathematics); GROUP theory; MANIFOLDS (Mathematics); TOPOLOGY; GEOMETRY; SET theory
- Publication
Forum Mathematicum, 2011, Vol 23, Issue 5, p1053
- ISSN
0933-7741
- Publication type
Article
- DOI
10.1515/FORM.2011.038