Tag Archives: bitopological space

Revisiting Stone duality for bitopological spaces

Posted on June 20, 2026 by jgl

Exactly one year ago, I presented a form of Stone duality for bitopological spaces due to Jung and Moshier, and refined by Jakl. This relied on a notion called d-frames, which are a pair of frames linked by a totality … Continue reading →

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Bitopological spaces, d-frames, and Jung-Moshier duality

Posted on June 20, 2025 by jgl

Stone duality is an adjunction between the category Top of topological spaces and the category Loc of locales, namely the opposite of the category Frm of frames. Is there a similar-looking adjunction between the category biTop of bitopological spaces—namely, sets … Continue reading →

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Bitopological spaces and stable compactness

Posted on April 22, 2021 by jgl

A while back (in March 2019, to be precise), Tomáš Jakl told me that he had a nice, short proof of the fact that the categories of stably compact spaces (and perfect maps) and compact pospaces (and continuous order-preserving maps) … Continue reading →

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