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- Title
Manifolds with S-category 2 have cyclic fundamental groups.
- Authors
Gómez-Larrañaga, J.; González-Acuña, F.; Heil, Wolfgang
- Abstract
closed topological n-manifold M is of S-category 2 if it can be covered by two open subsets W, W such that the inclusions W → M factor homotopically through maps W → S. We show that for n > 3 the fundamental group of such an n-manifold is either trivial or infinite cyclic.
- Subjects
MANIFOLDS (Mathematics); CATEGORIES (Mathematics); FUNDAMENTAL groups (Mathematics); ALGEBRAIC topology; MATHEMATICAL analysis; ALGEBRAIC geometry
- Publication
Mathematische Zeitschrift, 2010, Vol 266, Issue 4, p783
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-009-0598-4