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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Eventually, Mac Lane began to make sense, as did Borceux; but oh, ever so slowly. MathOverflow works best with JavaScript enabled. I doubt that someone could learn higher category theory and more in general higher dimensional algebra without first studying a little of category theory, mostly because the definition given in such context use a lot of category theoretic machinery. Each rheory contains numerous exercises for further study hfrrlich control. The paper can be obtained at– http: Categories and Structures F.

Horst Herrlich

Post Your Answer Discard By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies. If not, what’s the most efficient path through the classical core material to a modern perspective? Limits in functor categories. Category theory for working mathematicians I’ve already said a lot about this S.

Category Theory

Of course, there is no canonical way to approach learning higher category theory, so adjust the readings as needed. You may find this helpful: Sets for mathematicians is pretty.


Abstract and Concrete Categories: I would start from “Sets for mathematics”, and then going ctegory MacLane. Inverse and direct limits. It’s comprehensive, incredibly clear and amazingly rich in examples, including many you’ve probably never considered.

The n-category cafe, to keep you going. Yeah, I’d say they’re separate enough and you’re better off reading Riehl and then moving on to EGNO’s Tensor Categories if you’re wanting to know more about monoidal categories. Category theory Peculiar because it has very low prerequisites and it’s rich of examples too J. MacLane’s “Category theory for working mathematicians” may be a little outdated but I think it is still one of the most complete book of basic category theory second just to Borceux’s books.

Post as a guest Name. On the Classification of Topological Field Theories http: Lurie’s “Higher Topos Theory” http: Best of all, it’s much cheaper then MacLane!

You have to hunker down and really learn category theory. By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. Is Mac Lane still the best place to start?

Anyway there isn’t a best book to learn basic category theory, 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:. There’s a bit of truth to that, Mariano, although “most of category theory” is an exaggeration, and it doesn’t address the OP’s concern. An elementary illustrated introduction to simplicial sets 2 J.


Category theory : an introduction / [by] Horst Herrlich [and] George E. Strecker – Details – Trove

Generating, extremal mono and extremal generating, mono factorizations. Is Mac Lane still the best place to learn category theory? And the n-lab is a great resource, but mostly dazzles my eyes The attempt is made to present category theory mainly as a convenient language — one which ties together widespread notions, which puts many existing results in their proper perspective, and which provides a means for appreciation of the unity that exists in modern mathematics, despite the increasing tendencies toward fragmentation and specialization.

I found the Catsters on YouTube divinely useful. The idea of a derived generation makes my cringe a little John Baez, in his not so weekly blog, inspiring. My opinion is that one should learn most of category theory before one actually learns category theory, ttheory the form of examples.

Category Theory: An Introduction – Horst Herrlich, George E. Strecker – Google Books

Horst Herrlich was professor of mathematics at the University of Bremen, Germany. Home Questions Tags Users Unanswered. As far as a textbook for 1-category theory goes, I’m fond of Awodey’s book.

My opinion is that you should absolutely learn some 1-category theory first.