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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Homotopy Theory of Higher Categories http: Home Questions Tags Users Unanswered. Sign up using Email and Password. 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 herrliich you need to learn 1-category theory before some of the more modern theories.
Category Theory in Context by Emily Riehl. The paper can be obtained at– http: Eugenia Cheng’s notes on category theory was tremendously useful. It is really an excellent exposition with some nice perspectives on the hsrrlich, supported by plenty of examples. I’m a fan of Kashiwara and Schapira’s “Categories and sheaves” Simplicial Homotopy Theory http: The finished text did not disappoint.
My full review can be found here. It’s a remarkable book and I think it’s going to replace MacLane very quickly once it’s known to most experts. Best of all, herrlicb much cheaper then MacLane!
Baez’s TWF will give one a taste of a variety of topics, definitely. The paper can be obtained at Epi, extremal mono and extremal epi, mono categories. For further roadmaps on learning higher category theory, look at this nForum discussion on reading Lurie’s Higher Topos Theory http: Such a pity, that I just missed the chance to meet the author in person. Natural transformations and natural isomorphisms. My opinion is that one should learn most of category theory before one actually learns category theory, in the form of examples.
Algebraic categories and algebraic functors. Post as a guest Name. Horst Herrlich, George E. ACC is good too, but also rather idiosyncratic in different ways than Mac Lane.
The idea of a derived generation makes my cringe a little Email Required, but never shown. An theody illustrated introduction to simplicial sets 2 J. The fact that the book appears in a 3rd edition proves that the authors achieved their goals. The first chapter of Leinster’s Higher operads, higher categories gives a nice and quick introduction to category theory.
Horst Herrlich – Wikipedia
And yes, 1-category theory is definitely best to start with, and be familiar with; but keep an eye on the higher grounds too. Handbook of Categorical Algebra 3: Repeating what Giorgio Mossa wrote, 0 has an abundant number of examples from topology, algebra, and theoretical computer science. Lurie’s “Higher Topos Theory” streckker You may find this helpful: I would start from “Sets for mathematics”, and then cwtegory to MacLane. Abstract and Concrete Categories: Normal and exact categories.
Inverse and direct limits. John Baez, in his not so weekly blog, inspiring. I found “On the Classification of TQFTs” more readable, because Lurie doesn’t there try to give all detailed definitions, just outline a theory. If you’re interested in category theory, this is the book you want to learn from. A lot of thanks to Konrad S. Category theory Peculiar because it has very low prerequisites and it’s rich of examples too J. Leinster’s “Higher Operads Higher Categories” http: 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:.
Basic Category Theory F. 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.