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Continuous extension of maps between sequential cascades
Annals of Pure and Applied Logic 172 (4):102928 (2021)
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.My notes
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Citations of this work
The rudin–keisler ordering of p-points under ???? = ????Andrzej Starosolski - 2021 - Journal of Symbolic Logic 86 (4):1691-1705.
References found in this work
A few special ordinal ultrafilters.Claude Laflamme - 1996 - Journal of Symbolic Logic 61 (3):920-927.
How high can Baumgartner’s $${\mathcal{I}}$$ I -ultrafilters lie in the P-hierarchy?Michał Machura & Andrzej Starosolski - 2015 - Archive for Mathematical Logic 54 (5-6):555-569.
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