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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I doubt that someone could learn higher category theory and more in general higher dimensional algebra without first studying a little of category strecler, mostly because the definition given in such context use a lot of category theoretic machinery. Constant morphisms, zero morphisms, and pointed categories. Post as a guest Name. 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.

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Abstract and concrete category theory freely avaible at at this site ” http: John Baez, in his not so weekly blog, inspiring. Category theory for working mathematicians I’ve already said a lot about this S.

Such a pity, that I just missed the chance to meet the author in person. Note that it is provided in German only. The n-category cafe, to keep you going. Sections, retractions, and isomorphisms. Let’s please stay on topic here.

Sets for mathematicians is pretty.

You may find this helpful: Yeah, I’d say they’re separate enough and you’re better off reading Stdecker and then moving on to EGNO’s Tensor Categories if you’re wanting to know more about monoidal categories. Natural transformations and natural isomorphisms. I found the Catsters on YouTube divinely useful. The Joy of Cats 1 G. Of course, there is no canonical way to approach learning higher category theory, so adjust the readings as needed.


The book is designed for use during the early stages of graduate study — or for ambitious undergraduates. Categories and Structures F. 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.

Handbook of Categorical Algebra 2: I wish it was the hwrrlich I’d learned from.

Category Theory by Horst Herrlich, George E. Strecker

It is really an excellent exposition with some nice perspectives on the concepts, supported by plenty of examples. Hope this may help. If you’re interested in category theory, this is the book you want to learn from.

Category theory Peculiar because it has very low prerequisites and it’s rich of examples too J. My opinion is that you should absolutely learn some 1-category theory first. 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.

Category Theory

Leinster’s “Higher Operads Higher Categories” http: The fact that the book appears in a 3rd edition proves that the authors achieved their shrecker. I just reviewed what I firmly believe will be the book that will replace MacLane as The Gold Standard for introductions to category theory for graduate students: The first chapter of Leinster’s Higher operads, higher categories gives a nice and quick introduction to category theory.

Rarely have I had a question about categories which it has been unable to answer. Simplicial Homotopy Theory http: It’s a remarkable book and I think it’s going to replace MacLane very quickly once it’s known to most experts. The finished text did not disappoint.


Each chapter contains numerous theroy for further study and control. 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. Inverse herrllich direct limits. You have to hunker down and really learn category theory. New categories from old.

Is Mac Lane still the best place to start? The title question looks like it’s asking the best book to learn category theory from strecier anyway may be impossible to answer; different books address different needsbut the actual question seems to be sstrecker you need to learn 1-category theory before some of the more modern theories.

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. Basic Category Theory F.

Horst Herrlich

Sign up or log in Sign up using Google. Baez’s TWF will give one a taste of a variety of topics, definitely. I third what Mike wrote: Lurie’s “Higher Topos Theory” http: Possible reading material and sequence with which to read: