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

Katedra Metod Matematycznych w Technice i Informatyce (RMS/RMS3)

Institut de Mathématiques de Bourgogne

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

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Abstrakt

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.

Język oryginału	angielski
Numer artykułu	102928
Czasopismo	Annals of Pure and Applied Logic
Tom	172
Numer wydania	4
Identyfikatory DOI	https://doi.org/10.1016/j.apal.2020.102928
Status publikacji	Opublikowano - kwi 2021

Obszary tematyczne ASJC Scopus

Logika

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10.1016/j.apal.2020.102928

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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.",

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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.

KW - Contour

KW - Extension of maps

KW - Sequential cascade

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DO - 10.1016/j.apal.2020.102928

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Continuous extension of maps between sequential cascades

Abstrakt

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