Jan 4, 2017 · Eventually it became clear that higher category/higher homotopy theory is strictly necessary to understand what modern physics in general...

Oct 18, 2011 · Category theory doesn't have any prerequisites. The theory can be understood by a (good) freshman in mathematics. The point, however, is that you need many examples to …

Feb 8, 2014 · In my reading of various texts on abstract algebra on a number of topics, including recently, tensor products of modules, that a number of authors tend to make use of the …

Nov 18, 2010 · I just have a quick, but odd question. Next term I will be taking a Category Theory class with a visiting professor from Moscow. The professor is known to have done most of his …

Feb 17, 2008 · I am currently working my way through classical Yang-Mills theory with the help of John Baez 's book on gauge fields and some others. I have recently just began to notice the …

Mar 15, 2016 · I became interested in how category theory lets you formulate quantum gravity in a universe with just 3 spacetime dimensions. It amounts to a radical new conception of space, …

Jan 4, 2017 · Urs Schreiber submitted a new PF Insights post Why Higher Category Theory in Physics? Continue reading the Original PF Insights Post.

Nov 1, 2008 · Category theory is recognized for its high level of abstraction, but other mathematical branches like sheaf theory, cohomology theories, algebraic geometry, and logic …

Jan 18, 2008 · Does 'category theory' link different mathematical structures? Can you give a superficial example of how this has been done (eg. Name two mathematical structures and, …

Dec 22, 2019 · Type Theory and Category Theory are considered viable alternatives to Set Theory, but not as direct substitutes; they represent fundamentally different approaches to …