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Tag Archives: cartesian closeness
Exponentiable locales I: every exponentiable locale is continuous
The exponentiable objects of Top are exactly the core-compact spaces. Through Stone duality, the core-compact spaces are related to the continuous frames. So here is a wild guess: would the exponentiable locales be exactly the continuous frames? That is indeed … Continue reading
Posted in Uncategorized
Tagged cartesian closeness, category theory, continuous lattice, exponentiability, locale
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Topological Functors II: the Cartesian-closed category of C-maps
Some time ago, I gave an introduction to topological functors. They form a pretty brilliant categorical generalization of topological spaces. The point of today’s post is to give one particular example of the fact that you can somehow generalize some … Continue reading
Posted in Uncategorized
Tagged cartesian closeness, category theory, exponentiability, topological functor
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A report from ISDT’22: one-step closure; c-spaces are not CCC
I have been attending the 9th International Symposium on Domain Theory (ISDT’22), which took place online, July 4-6, 2022, in Singapore. This was a fine conference indeed, and it ran very smoothly. I initially intended to give a summary of … Continue reading
Posted in Uncategorized
Tagged cartesian closeness, closure, exponentiability
Comments Off on A report from ISDT’22: one-step closure; c-spaces are not CCC