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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Handbook of Categorical Algebra 3: Repeating strcker Giorgio Mossa wrote, 0 has an abundant number of examples from topology, algebra, and theoretical computer science. For further roadmaps on learning higher category theory, look at this nForum discussion on reading Lurie’s Higher Topos Theory http: Home Questions Tags Users Unanswered.
It gives an introduction to category theory assuming only minimal knowledge in set theory, algebra or topology. Sign up using Email and Password. Baez’s TWF will give one a taste of a variety of topics, definitely. Inverse and direct limits.
Category Theory: An Introduction – Horst Herrlich, George E. Strecker – Google Books
Email Required, but never shown. My opinion is that one should learn most of category theory before one actually learns category theory, in the form of examples. Each chapter contains numerous exercises for further study and control. An elementary illustrated introduction to simplicial sets 2 J. I’m a big fan of Borceux’s Handbook of Categorical Algebra 1.
If so, via what route? I wish it was the one I’d learned from. Categories of Sheaves For higher category theory I know just few reference: See the nLab page metacategory http: Best of all, it’s much cheaper then MacLane!
Monomorphisms, epimorphisms, and bimorphisms. Hope this may help. Abstract and concrete category theory freely avaible at at this site ” http: I’m a fan of Kashiwara and Schapira’s “Categories and sheaves” Eventually, Mac Lane began to make sense, as did Borceux; but oh, ever so slowly.
Initial, terminal, and zero objects. After you have read one of these book, you could also use Borceux’s books and read some herrlifh advanced chapter of category theory which aren’t discussed in the previous books.
Horst Herrlich – Wikipedia
Isomorphisms and equivalences of categories. The first chapter of Leinster’s Higher operads, higher categories gives a nice and quick introduction to category theory. The fact that the book appears in a 3rd edition proves that the authors achieved their goals.
As a corollary, the best place to learn category theory is in a herrilch algebra textbook together with a good topology textbook and, for optimal rsults, a good algebraic topology textbook. Categories and Structures F. I found “On the Classification of TQFTs” more readable, because Lurie doesn’t there try to give all detailed definitions, just outline a theory.