Notes on duality theories of abelian groups
| dc.creator | Lukács, Gábor | |
| dc.date | 2006-05-05 | |
| dc.date.accessioned | 2026-07-07T07:13:57Z | |
| dc.date.available | 2026-07-07T07:13:57Z | |
| dc.description | In this notebook, I present duality theory (or theories) of abelian groups with some categorical and categorical topological flavour. I consider writing this notebook as a longer-term project, and its current content and presentation is "under development." In other words, all questions, comments, suggestions, and criticism is more than usually welcome. In Chapter 1, which is the only more-or-less ready part, the evaluation homomorphism A --> A^^ (of a group A into its bidual A^^) is studied, with particular attention to quasi-convexity and special groups (compact, discrete, LCA) and subgroups (open, compact). The treatment of LCA groups is incomplete, but the ultimate goal is to make it as self-contained as possible. | |
| dc.description | v0.1: Contains only Chapter 1 and Appendix | |
| dc.identifier | https://arxiv.org/abs/math/0605149 | |
| dc.identifier | http://arxiv.org/abs/math/0605149 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112674 | |
| dc.subject | General Topology | |
| dc.subject | Category Theory | |
| dc.subject | 22-02 22A05 43A40 | |
| dc.title | Notes on duality theories of abelian groups | |
| dc.type | text |