What even is category theory anyway?

Topology is in some sense dual to algebra, and analysis is emergent from the study of topology and algebra together. Expecting category theory to lead to a very ...

Getting Started with Category Theory - Ryan Brewer

The arrows in Cat are called "functors," and they're functions (really mappings, in the event of a large or locally large category where they ...

Obtuse axiomatization of category theory - The Universe of Disco

Everyone who knows anything about category theory knows that a category is a sort of abstraction of a domain of mathematical objects, like sets, ...

A Brief Introduction to Category Theory - D. Zack Garza

One of Eilenberg and Mac Lane's motivations was that it was (and still is!) common among mathematicians to refer to certain constructions as “ ...

Relations are hard to model in category theory - 0 FPS

You can approach category theory in many ways, but coming from set theory the easiest way to understand it is that it is the study of functional ...

Highest scored 'higher-category-theory' questions - MathOverflow

For a student embarking on a study of algebraic topology, requiring a knowledge of basic category theory, with a long-term view toward higher/stable/derived ...

Category Theory With Bartosz Milewski - CoRecursive Podcast

Yeah, category theory is a branch of mathematics. It's a very, very abstract branch of mathematics. And really surprisingly this extremely ...

A Gentle Introduction to Category Theory - GitHub Pages

Anyway, we shall talk of monoid operations, rather than of monoids. The ... Thus defined, Ftr(A, B) is a pre-category and even a category. (Exercise ...

category theory - nForum

It's simplest to see for unary type theory. The mode theory is a syntax for a 2-category, but we can view it as a version of the 2-category Adj of categories ...

Category Theory: ?What is up with these Diagrams? - Physics Forums

There are several key concepts in Category Theory, including categories, functors, and natural transformations. Categories are mathematical ...

Category theory outreach panel - YouTube

Topos Institute Colloquium, 16th of March 2023. ——— Category theory is a wonderful subject, deep and broad, spanning the breadth of ...

Is category theory relevant to our daily lives Categorically! - The Stute

Category theory, while a mathematical topic, is typically not covered in undergraduate or even graduate math programs, at least not directly.

What's category theory, anyway? Dedicated to the memory of ...

What's category theory, anyway? Dedicated to the memory of. Dietmar Schumacher (1935-2014). Robert Par้. November 7, 2014. Page 2. Many subjects.

Eugenia Cheng - Category Theory in Life - YouTube

... events for more details. ___ Category theory can be thought of as being 'very abstract algebra'. It is thought of as 'too abstract' by some ...

Is Category Theory Mathematics?

Category theory allows for the formulation of conjectures and the development of formal proofs, making it a legitimate part of the study of mathematics under ...

What is Category Theory in mathematics? Johns Hopkins' Dr. Emily ...

... event honoring the brilliant work of Dr. Riehl, opened by Provost Sunil Kumar and Dr. John Toscano. Denis Wirtz, Vice Provost for Research ...

Category Theory For Beginners: Representable Functors - YouTube

We use the running example of the natural number object as the universal dynamical system to illustrate how representable functors can be ...

So What Now? Journalism under a second Trump administration

This time, everyone knew he might win, and what many worry it may ultimately cost us, and he won anyway. ... even a physical courage, that ...

Replacing Space-Time With the Space in Your Eyes | 4 gravitons

Still, it has one big advantage: unlike the amplituhedron, Nima's new approach looks like it can work for at least a few of the theories that ...

What are...2-categories? - YouTube

Goal. Explaining basic concepts of category theory in an intuitive way. This time. What are...2-categories? Or: Categories in categories.