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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

5 votes

Disjoint union of measures

The first issue: In order to talk about a coproduct / disjoint union we need a category for our objects to live in. A natural candidate seems to be the following category (result of a Grothendieck con …
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14 votes
3 answers
691 views

Is there a monad on Set whose algebras are Tychonoff spaces?

Compact Hausdorff spaces are algebras of the ultrafilter monad on Set. Is the category of Tychonoff spaces also monadic over Set?