Homology exponents for H-spaces
| dc.creator | Clement, Alain | |
| dc.creator | Scherer, Jerome | |
| dc.date | 2006-12-11 | |
| dc.date.accessioned | 2026-07-07T06:36:06Z | |
| dc.date.available | 2026-07-07T06:36:06Z | |
| dc.description | We say that a space X admits a homology exponent if there exists an exponent for the torsion subgroup of the integral homology. Our main result states if an H-space of finite type admits a homology exponent, then either it is, up to 2-completion, a product of spaces of the form BZ/2^r, S^1, K(Z, 2), and K(Z,3), or it has infinitely many non-trivial homotopy groups and k-invariants. We then show with the same methods that simply connected $H$-spaces whose mod 2 cohomology is finitely generated as an algebra over the Steenrod algebra do not have homology exponents, except products of mod 2 finite H-spaces with copies of K(Z, 2) and K(Z,3). | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0612276 | |
| dc.identifier | http://arxiv.org/abs/math/0612276 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99984 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 57T25, 55S45 (Primary); 55P20, 55S10, 55T10, 55T20 (Secondary) | |
| dc.title | Homology exponents for H-spaces | |
| dc.type | text |