We’re brought up to say that the dual concept of injection is surjection, and of course there’s a perfectly good reason for this. The monics in the category of sets are the injections, the epics are ...

Example Let A be the category (0 → 1) consisting of a single nontrivial map. Then an object of SetobA is a pair (P0, P1) of sets, and an object of SetA is a function X0 f → X1 between a pair of ...

This is the homepage for the UT Geometry and Quantum Field Theory Seminar. At the organizational meeting we will flesh out the details of our plans for the semester. Below are some suggestions to get ...

Nov 22, 2024 01:03 The quantum computation topic, and mentor, have changed to this: Structuring Quantum Effects with Monads and Arrows Mentor: Juliana Kaizer ...

Jan 16, 2025 19:51 Ah, now that’s a very interesting point. Someone who’s fluent in dagger categories would probably have further thoughts about that.

Dec 25, 2024 03:44 Also I thought I should mention that this conversation inspired me to collate my thoughts on some of these mathematical ...

Jan 13, 2025 01:49 Also, it seems that you didn’t explicitly show that the existence of identity functions for every set, while in the ...

Aug 20, 2012 A survey article on the formalization of aspects of quantum gauge field theory in the formal language of cohesive homotopy type theory.

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