Search Results

I think Fong and Spivak's Seven Sketches in Compositionality is the ideal answer to this question. You phrased your question as being about the "mindset" that you need to learn category theory, and i …

I hesitate to let this out, but there's always this cute little note that I learned from another MO answer (I don't know which one): https://www.maths.ed.ac.uk/~tl/glasgowpssl/banach.pdf. Maybe this …

Here is a fairly naive answer from a non-expert. If you've studied algebraic topology then you can probably appreciate the philosophy that for the purposes of homotopy theory you should not consider …

As a (slowly) recovering category-phobe, allow me to suggest that you change the way you think of category theory. Specifically, don't think of category theory as a "theory". A theory in mathematics …

This question first arose as I wrote an answer for the question: Is there a nice application of category theory to functional/complex/harmonic analysis?; it can also be regarded as a (hopefully) more …

I've never completely understood what counts as "an application of category theory". With other areas of mathematics an "application" of area A to area B is generally a result which translates a prob …

I'm not an algebraic geometer, but I've been doing a little armchair reading on stacks just to see what all the fuss is about. It appears that stacks are used in algebra in a similar way that groupoi …

Let me begin by noting that I know quite little about category theory. So forgive me if the title is too vague, if the question is trivial, and if the question is written poorly. Let $\mathcal{C}$ a …