Category theory: an introduction. Front Cover. Horst Herrlich, George E. Strecker. Allyn and Bacon, – Mathematics – pages. Category Theory: An Introduction. Front Cover. Horst Herrlich, George E. Strecker . Heldermann, – Categories (Mathematics). – pages. Category Theory has 1 rating and 0 reviews: Published by Allyn and Bacon, pages, Hardcover.
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Leinster’s “Higher Operads Higher Categories” http: Constant morphisms, zero morphisms, and pointed categories.
aic topology – Is Mac Lane still the best place to learn category theory? – MathOverflow
An elementary illustrated introduction to simplicial sets 2 J. After you have read one of these book, you could also use Borceux’s books and read some more advanced chapter of category theory which aren’t discussed in the previous books. I found the Catsters on YouTube divinely useful.
Post as a guest Name. Simplicial Homotopy Theory http: Is Mac Lane still the cxtegory place to learn category theory?
A lot of thanks to Konrad S. It is really an excellent exposition with some nice perspectives on the concepts, supported by plenty of examples. Horst Herrlich, George E. The Joy of Cats 1 G. Rarely have Shrecker had a question about categories which it has been unable to answer. See the nLab page metacategory http: It’s developed over the last several years from courses in category theory that Riehl has taught at Harvard and John Hopkins University to strong undergraduates and first year graduate students.
And yes, 1-category theory is definitely best to start with, and be familiar theorh but keep an eye on the higher grounds too. The n-category cafe, to keep you going. With that being said, elaborating and expounding hheory janed0e’s suggestion, what follows are two study plans according to the prior knowledge of the student.
Category theory : an introduction / [by] Horst Herrlich [and] George E. Strecker – Details – Trove
My full review can be found here. Home Questions Tags Users Unanswered. As a corollary, the best place to learn category theory is in a good algebra textbook together with a good topology textbook and, for optimal rsults, a good algebraic topology textbook.
I would start from “Sets thepry mathematics”, and then going to MacLane.
It gives an introduction to category theory assuming only minimal knowledge in set theory, algebra or topology. Natural transformations and natural isomorphisms.
The first chapter of Leinster’s Higher operads, higher categories gives a nice and quick introduction to category theory.
Student has knowledge of 1-category theory but not simplicial sets and wishes to get an in depth experience of infinity-category theory, allowing an ‘ample’ amount of time. As far as a textbook for 1-category theory goes, I’m fond of Awodey’s book. Isomorphisms and equivalences of categories. Characterization and generation of Actegory subcategories. The fact that the book appears in a 3rd edition proves that the authors achieved their goals.
So the next generation will be, so to speak, natively derived. Eventually, Mac Lane began to make sense, as strecket Borceux; but oh, ever so slowly. It’s a remarkable book and I think it’s going to replace MacLane very quickly once it’s known to most experts. Limits in functor categories.
The more advanced book ” Abstract and Concrete Categories “, which the authors of this book wrote together with Jiri Adamek, is also available from Heldermann Verlag as a free electronic publication. Normal and exact categories. Sign cateory or log in Sign up using Google. Anyway there isn’t a best book to learn basic category syrecker, any person could find a book better than another one, so I suggest you to take a look a some of these books, then choose which one is the best for you: Category theory for working mathematicians I’ve already said a lot about this S.
I wish it was the one I’d learned from.