Category theory | Math Research of Victor Porton

New Edition of the Book “Algebraic General Topology. Book 1: Basics”

I’ve published a new edition of my book Algebraic General Topology. The new edition features “unfixed morphisms” a way to

I have rewritten the section “More results on restricted identities” of this draft. Now it contains some new (easy but

I have developed my little addition to category theory, definition and research of properties of unfixed morphisms. Unfixed morphisms is

I removed from my draft sections about “categories under Rel”. The removal happened because I developed a more general and

I announced that I have introduces axioms for “restricted identities”, a structure on a category which allows to turn the

In this draft (to be moved into the online book in the future, but the draft is nearing finishing this

I welcome you to the following math research volunteer job: Participate in writing my math research book (volumes 1 and

I’ve added to my book a theorem with a triangular diagram of isomorphisms about representing filters on a set as

I proved: Theorem is a left adjoint of both and , with bijection which preserves the “function” part of the morphism.

I started research of mappings between endofuncoids and topological spaces. Currently the draft is located in volume 2 draft of