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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As far as a textbook for 1-category theory goes, I’m fond of Awodey’s book. And yes, 1-category theory is definitely best to start with, and be familiar with; but keep an eye on the higher grounds too.

Horst Herrlich

If not, what’s the most efficient path hrerlich the classical core material to a modern perspective? 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.

Homotopy Theory of Higher Categories http: MathOverflow works best with JavaScript enabled.

Categories of Sheaves For higher category theory I know just few reference: Let’s please stay on topic here. See the nLab page metacategory http: 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.

I tsrecker the Catsters on YouTube divinely useful. Baez’s TWF will give one a taste of a variety of topics, definitely.

The title question looks like it’s asking the best book to learn category theory from which anyway may be impossible to answer; different books address different needsbut the actual question seems to be whether you need to learn 1-category theory before some of the more modern theories.

Category theory Peculiar because it has very low prerequisites and it’s rich of examples too. For further roadmaps on learning higher category theory, look at this nForum discussion on reading Lurie’s Higher Topos Theory http: So the next generation will be, so to speak, natively derived. Abstract and Concrete Categories: I found “On the Classification of TQFTs” more readable, because Lurie doesn’t there try to give all detailed definitions, just outline a theory.


Post as a guest Name. My opinion is that you should absolutely learn some 1-category theory first.

Category Theory

Horst Herrlich was professor of mathematics at the University of Bremen, Germany. By clicking “Post Xtrecker 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.

Sets for mathematicians is pretty. Sigma Series in Pure Mathematics — Volume 1. I would start from “Sets for mathematics”, and then going to MacLane. Or has this subject become so categorg nowadays that we are no longer counting it into category theory? Is Mac Lane still the best place to learn category theory?

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

Such a pity, that I just missed the chance to meet the author in person. Category Theory in Context by Emily Riehl. Student has no knowledge of 1-category theory or simplicial sets and wishes to get the flavor of infinity-category theory, without getting bogged down by technical details, in as short a time as can be reasonably expected.

I recommend for a first reading on category theory: Note that it is provided in German only. By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. Category theory for working mathematicians I’ve already said a lot about this S. Sets, classes, and conglomerates. I third what Mike wrote: John Baez, in his not so weekly blog, inspiring.


It’s a remarkable book and I think it’s going to replace MacLane very quickly once it’s known to most experts. You have to hunker down and really learn category theory. As Mike Shulman noted, 0 is rather idiosyncratic. Email Required, but never shown. 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.

An elementary illustrated introduction to simplicial sets 2 J. I’m a big fan of Borceux’s Handbook of Categorical Algebra 1. 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. 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.

Of course, there is no canonical way to approach learning higher category theory, so adjust the readings as needed. Category theory Peculiar because it has very low prerequisites and it’s rich of examples too J.

She posted her evolving notes at her website each time and the first time I saw a rough draft, I knew she was writing something hrrlich. Algebraic categories and algebraic functors.

Characterization and generation of E-reflective subcategories. Sign up using Facebook. Higher Topos Theory http: