Continuous extension of maps between sequential cascades
General Topology
2019-01-31 v1
Abstract
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.
Cite
@article{arxiv.1901.10729,
title = {Continuous extension of maps between sequential cascades},
author = {Szymon Dolecki and Andrzej Starosolski},
journal= {arXiv preprint arXiv:1901.10729},
year = {2019}
}
Comments
20 pages