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The group of self-homotopy equivalences of An2-polyhedra.
- Source :
-
Journal of Group Theory . Jul2020, Vol. 23 Issue 4, p575-591. 17p. - Publication Year :
- 2020
-
Abstract
- Let X be a finite type An2-polyhedron, n ≥ 2. In this paper, we study the quotient group ℰ (X) / ℰ*(X), where ℰ (X) is the group of self-homotopy equivalences of X and ℰ*(X) the subgroup of self-homotopy equivalences inducing the identity on the homology groups of X. We show that not every group can be realised as ℰ (X) or ℰ (X) / ℰ *(X) for X an An2-polyhedron, n ≥ 3, and specific results are obtained for n = 2. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HOMOTOPY equivalences
*MATHEMATICAL equivalence
*GROUP identity
Subjects
Details
- Language :
- English
- ISSN :
- 14335883
- Volume :
- 23
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of Group Theory
- Publication Type :
- Academic Journal
- Accession number :
- 144584199
- Full Text :
- https://doi.org/10.1515/jgth-2018-0203