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Article Dans Une Revue Annals of Pure and Applied Logic Année : 2021

Continuous extension of maps between sequential cascades

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.

Dates et versions

hal-03283193 , version 1 (09-07-2021)

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Citer

Szymon Dolecki, Andrzej Starosolski. Continuous extension of maps between sequential cascades. Annals of Pure and Applied Logic, 2021, 172 (4), pp.102928. ⟨10.1016/j.apal.2020.102928⟩. ⟨hal-03283193⟩
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