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

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?
Gerrit Begher's user avatar
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 …
Gerrit Begher's user avatar