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Tag Archives: bitopological space
Bitopological spaces, d-frames, and Jung-Moshier duality
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
Posted in Uncategorized
Tagged bitopological space, monad, sober space, sobriety, Stone duality
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Bitopological spaces and stable compactness
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
Posted in Uncategorized
Tagged bitopological space, duality, stably compact space
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