On localizing topological algebras
| dc.creator | Mallios, Anastasios | |
| dc.date | 2002-11-11 | |
| dc.date.accessioned | 2026-07-07T03:27:19Z | |
| dc.date.available | 2026-07-07T03:27:19Z | |
| dc.description | Through the subsequent discussion we consider a certain particular sort of (topological) algebras, which may substitute the `` structure sheaf algebras'' in many--in point of fact, in all--the situations of a geometrical character that occur, thus far, in several mathematical disciplines, as for instance, differential and/or algebraic geometry, complex (geometric) analysis etc. It is proved that at the basis of this type of algebras lies the sheaf-theoretic notion of (functional) localization, which, in the particular case of a given topological algebra, refers to the respective ``Gel'fand transform algebra'' over the spectrum of the initial algebra. As a result, one further considers the so-called ``geometric topological algebras'', having special cohomological properties, in terms of their ``Gel'fand sheaves'', being also of a particular significance for (abstract) differential-geometric applications; yet, the same class of algebras is still ``closed'', with respect to appropriate inductive limits, a fact which thus considerably broadens the sort of the topological algebras involved, hence, as we shall see, their potential applications as well. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0211032 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0211032 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/34383 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | On localizing topological algebras | |
| dc.type | text |