Tag Archives: patch topology

Revisiting Stone duality for bitopological spaces: III. The biO ⊣ bipt adjunction and the patch frame

Posted on October 20, 2026 by jgl

In part II, I defined simple lax biframes and simple biframes, and I argued that simple biframes are the same thing as the biframes of Banaschewski, Brümmer and Hardie. We will pursue the idea of using simple biframes as an … Continue reading →

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Compact closed subsets in the patch topology

Posted on October 20, 2024 by jgl

Given a coherent, well-filtered space X, one can give a pretty explicit description of the compact closed sets in Xpatch, the space obtained by equipping X with its patch topology—and we do not need local compactness or compactness. They are … Continue reading →

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