Continuous extension of maps between sequential cascades

Szymon Dolecki; Andrzej Starosolski

doi:10.1016/j.apal.2020.102928

Continuous extension of maps between sequential cascades

Szymon Dolecki
, Andrzej Starosolski

Department of Mathematical Methods in Technology and Computer Science (RMS/RMS3)

Institut de Mathématiques de Bourgogne

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Article number	102928
Journal	Annals of Pure and Applied Logic
Volume	172
Issue number	4
DOIs	https://doi.org/10.1016/j.apal.2020.102928
Publication status	Published - Apr 2021

Keywords

Contour
Extension of maps
Sequential cascade

ASJC Scopus subject areas

Logic

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10.1016/j.apal.2020.102928

Cite this

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AU - Starosolski, Andrzej

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AB - 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.

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KW - Extension of maps

KW - Sequential cascade

UR - https://www.scopus.com/pages/publications/85106833271

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DO - 10.1016/j.apal.2020.102928

M3 - Article

AN - SCOPUS:85106833271

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Continuous extension of maps between sequential cascades

Abstract

Keywords

ASJC Scopus subject areas

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