Jason (jcreed) wrote,
Jason
jcreed

Last night arrived at the conclusion that probably a topological space is something like a special case of a T-multicategory where T is the monad 2^(2^-) --- and after a bit of googling this appears to be a known fact. See http://arxiv.org/pdf/1412.4628.pdf, third hit in the paper for the phrase "topological space".

That's pretty neat, though! I like seeing that the contravariance in the definition of topological continuity "comes from" the contravariance in (each half of) the CPS monad.
Tags: math
Subscribe

  • (no subject)

    I think I got around the need for corecursion by just using One More Linear Token: defining ◇A = ∃x.z(x) ⊗ □!(z(x) ⊸ ∀a.q(a) ⊸ ∃b.q(b) ⊗ □!(ℓ(a) ⊸…

  • (no subject)

    Thought some more about what happens when you take positive props P ::= ↓G | P ⊕ P | 0 negative props N ::= ↑G | N & N | ⊤ games G ::= {N|P}…

  • (no subject)

    Dang. Stuff from yesterday led down a path that made me think I had a very tidy answer to the age-old question of "read-only…

  • Post a new comment

    Error

    Anonymous comments are disabled in this journal

    default userpic

    Your reply will be screened

    Your IP address will be recorded 

  • 0 comments