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ON FINITE DOMINATION AND POINCARÉ DUALITY.
- Source :
-
Homology, Homotopy & Applications . 2024, Vol. 26 Issue 1, p29-35. 7p. - Publication Year :
- 2024
-
Abstract
- The object of this paper is to show that non-homotopy finite Poincaré duality spaces are plentiful. Let π be a finitely presented group. Assuming that the reduced Grothendieck group eK 0(Z[π]) has a non-trivial 2-divisible element, we construct a finitely dominated Poincaré space X with fundamental group π such that X is not homotopy finite. The dimension of X can be made arbitrarily large. Our proof relies on a result which says that every finitely dominated space possesses a stable Poincaré duality thickening. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15320073
- Volume :
- 26
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Homology, Homotopy & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 177333139
- Full Text :
- https://doi.org/10.4310/HHA.2024.v26.n1.a3