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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The Joy of Cats 1 G. Post hrrrlich a guest Name. Sign up using Facebook. As far as a textbook for 1-category theory goes, I’m fond of Awodey’s book. Category Theory in Context by Emily Riehl. Eugenia Cheng’s notes on category theory was tremendously useful.
Category Theory: An Introduction – Horst Herrlich, George E. Strecker – Google Books
With that being said, elaborating and expounding upon janed0e’s suggestion, what follows are two study plans according to the prior knowledge of the student. Note that it is provided in German only.
Or has this subject become so separate nowadays that we are no longer counting it into category theory? Category theory for working mathematicians I’ve already said a lot about this S. Handbook of Categorical Algebra 2: Epi, extremal mono and extremal epi, mono categories.
My full review can be found here. Category theory Peculiar because it has very low prerequisites and it’s rich of examples too J. An elementary illustrated introduction to simplicial sets 2 J. She posted her evolving notes at her website each time and the first time I saw a rough draft, I knew catsgory was writing something special.
strecjer Eventually, Mac Lane began to make sense, as did Borceux; but oh, ever so slowly. If so, via what route? And yes, 1-category theory is definitely best to start with, and be familiar with; but keep an eye on the higher grounds too.
Leinster’s “Higher Operads Higher Categories” http: Hope this may help. MacLane’s “Category theory for working mathematicians” may be a little outdated but I think it is still one of the most complete book of basic category theory second just to Borceux’s books.
The tsrecker 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.
My opinion is that you should absolutely learn some 1-category theory first. Functors that preserve and reflect limits.
Initial, terminal, and zero objects. Best of all, it’s much cheaper then MacLane! The paper can be obtained at– http: Inverse and direct limits. Abstract and concrete category theory freely avaible at at this site ” http: Baez’s TWF will give one a taste of a variety of topics, definitely. Sets for caegory is pretty. The fact that the book appears in a 3rd edition proves that the authors achieved their goals.
Such a pity, that Strecekr just missed the chance to meet the author in person. For further roadmaps on learning higher category theory, look at this nForum discussion on reading Lurie’s Higher Topos Theory http: Generating, extremal mono and extremal generating, mono factorizations.
If you’re interested in category theory, this is the book you want to learn from. I learned alot from there.
The implicit assumption is that the student has a budget of zero dollars. See the nLab page metacategory http: