p-topological and p-regular: dual notions in convergence theory
| dc.creator | Wilde, Scott A. | |
| dc.creator | Kent, D. C. | |
| dc.date | 1999-02-21 | |
| dc.date.accessioned | 2026-07-07T05:27:59Z | |
| dc.date.available | 2026-07-07T05:27:59Z | |
| dc.description | The natural duality between "topological" and "regular," both considered as convergence space properties, extends naturally to p-regular convergence spaces, resulting in the new concept of a p-topological convergence space. Taking advantage of this duality, the behavior of p-topological and p-regular convergence spaces is explored, with particular emphasis on the former, since they have not been previously studied. Their study leads to the new notion of a neighborhood operator for filters, which in turn leads to an especially simple characterization of a topology in terms of convergence criteria. Applications include the topological and regularity series of a convergence space. | |
| dc.description | 12 pages in Acrobat 3.0 PDF format | |
| dc.identifier | https://arxiv.org/abs/math/9902120 | |
| dc.identifier | http://arxiv.org/abs/math/9902120 | |
| dc.identifier | Internat. J. Math. & Math. Sci. 22 (1999), 1-12 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78133 | |
| dc.subject | General Topology | |
| dc.subject | 54A20, 54A10, 54D10 | |
| dc.title | p-topological and p-regular: dual notions in convergence theory | |
| dc.type | text |