Basic Category Theory
2016/12/30 by Tom Leinster, Leinster, Tom · 9 voices · 9 citations
#math.CT #math.AT #math.LO
paper · pdf · doi:10.48550/arxiv.1612.09375
Abstract
This short introductory category theory textbook is for readers with relatively little mathematical background (e.g. the first half of an undergraduate mathematics degree). At its heart is the concept of a universal property, important throughout mathematics. After a chapter introducing the basic definitions, separate chapters present three ways of expressing universal properties: via adjoint functors, representable functors, and limits. A final chapter ties the three together. For each new categorical concept, a generous supply of examples is provided, taken from different parts of mathematics. At points where the leap in abstraction is particularly great (such as the Yoneda lemma), the reader will find careful and extensive explanations.
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Discussions
- Basic Category Theory [hn, 248 points, 85 comments]
- Basic Category Theory [lobsters, 18 points, 0 comments]
- Love Tom Leinster's writings. It was his category theory book that got me inducted into the subject. Less than 200 pages, clear succinct explanations, lots of examples .. arxiv.org/abs/1612.09375 [bsky, 11 points, 0 comments]
- Tom Leinster's Basic Category Theory (Cambridge University Press 2014) is now available for free on the arXiv! 🧮 arxiv.org/abs/1612.09375 [bsky, 9 points, 1 comments]
- I have bounced off of category theory every time I've tried to learn it, but Tom Leinster's open-source textbook is kinda doing it for me (arxiv.org/abs/1612.09375) [bsky, 6 points, 1 comments]
- [1612.09375] Basic Category Theory [pdf] [hn, 6 points, 3 comments]
- Basic Category Theory (2016) [hn, 2 points, 0 comments]
- Basic Category Theory (textbook) [hn, 2 points, 3 comments]
- As an undegrad I liked Lawvere & Schanuel's "Conceptual mathematics". There's also arxiv.org/abs/1612.09375 and direct.mit.edu/books/monogr.... I think it can be co-taught w/ CS; "should" depends o [bsky, 1 points, 0 comments]
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