Continuous extension of maps between sequential cascades
| Affiliation auteurs | Affiliation ok |
| Titre | Continuous extension of maps between sequential cascades |
| Type de publication | Journal Article |
| Year of Publication | 2021 |
| Auteurs | Dolecki S, Starosolski A |
| Journal | ANNALS OF PURE AND APPLIED LOGIC |
| Volume | 172 |
| Pagination | 102928 |
| Date Published | APR |
| Type of Article | Article |
| ISSN | 0168-0072 |
| Mots-clés | Contour, Extension of maps, Sequential cascade |
| Résumé | The contour of a family of filters along a filter is a set-theoretic lower limit. Topologicity and regularity of convergences can be characterized with the aid of the contour operation. Contour inversion is studied, in particular, for iterated contours of sequential cascades. A related problem of continuous extension of maps between maximal elements of sequential cascades to full subcascades is solved in full generality. (C) 2020 The Authors. Published by Elsevier B.V. |
| DOI | 10.1016/j.apal.2020.102928 |