Continuous extension of maps between sequential cascades

Szymon Dolecki; Andrzej Starosolski

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arXiv · 1901.10729

Continuous extension of maps between sequential cascades

Szymon Dolecki·Andrzej Starosolski

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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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Szymon Dolecki, Andrzej Starosolski. 2019-01-30. Continuous extension of maps between sequential cascades. https://arxiv.org/abs/1901.10729

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