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These are all examples of essential concepts in category theory, i.e. limits, adjunctions, and the Multitasking at old age can cough burp laugh fart shirt moreover I will buy this Yoneda Lemma. And as you learn more mathematics, you will see even more interesting examples, like sheaves in algebraic geometry, the fundamental group as a functor, and amalgamated products in group theory. Don’t hold yourself back. You are ready for this. Category theory will give you a new way to see and connect many areas of mathematics. At my university category theory would be part of a course in algebraic topology, representation theory or homological algebra. I think it’s a good idea to learn category theory with some setting like that in mind. But if you enjoy abstraction you could always jump right in. I self-studied category theory after taking my linear algebra courses. It did make some sense, but i cannot emphasize how important Algebraic Topology is for the area. It provides historical and academic context for the existence of category theory, as well as direct examples and motivations for a good majority of classical category theory.

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I think you definitely will benefit from category theory while doing mathematics, but I think that learning category theory without algebraic topology is the Multitasking at old age can cough burp laugh fart shirt moreover I will buy this equivalent of shooting yourself in the foot. Algebraic topology is an important historical motivation, but I don’t agree that you absolutely need it to learn category theory (assuming we’re talking about 1 or 2-categories; infinity categories are something else…). There’s definitely a lot of other topics in algebra or geometry that can be used to motivate category-theoritic ideas, and I think there’s a lot of paths one can take because of how universal category theory is. I learnt it in my first year as undergrad, and I don’t think it hurt at least. Depends on what you mean by “learn category theory”. If it is a really heavy course where they use a lot of examples from algebraic topology or algebraic geometry, then maybe not. But if it just talks about categories, functors, limits etc and doesn’t go so deep then maybe it won’t be so bad. In terms of understanding, it will depend on how the teacher approaches it but the more interesting examples are from algebraic topology and geometry so if you are unfamiliar then the examples meant to elucidate category theory might actually confuse.

1. Length is measured from the highest point on the collar down to the bottom hem. 2. Width is measured across the body of the shirt under the armpits, one way. 3. Sleeves are measured from center back to hem.