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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My opinion is that you should absolutely learn some 1-category theory first. By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. As a corollary, the best place to learn category theory is in cagegory good algebra textbook together with a good topology textbook and, for optimal rsults, a good algebraic topology textbook.

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

Home Questions Tags Users Unanswered. Note that it is provided in German only. Characterization and generation of E-reflective subcategories.

On the Classification of Topological Field Theories http: Sign up using Email and Password. Category theory Peculiar because it has very low prerequisites and it’s rich of examples too.

Repeating what Giorgio Mossa wrote, 0 has an abundant number of examples from topology, algebra, and theoretical computer science. The title question looks like it’s asking the best book to learn category theory from which anyway may be impossible to answer; thekry 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.


And yes, 1-category theory is definitely best to start with, and be familiar with; xategory keep an eye on the higher grounds too.

Category Theory

I found “On the Classification of TQFTs” more readable, because Lurie doesn’t there try to give all detailed definitions, just outline a theory. Natural transformations and natural isomorphisms. Sign up using Facebook. Categories of Sheaves For higher category theory I know just few reference: Sets for mathematicians is pretty.

And the n-lab is a great resource, but mostly dazzles my eyes My opinion is that one should learn most of category theory before one actually learns category theory, in the form of examples.

Sections, retractions, and isomorphisms. I wish it was the one I’d learned from.

Category Theory: An Introduction – Horst Herrlich, George E. Strecker – Google Books

Is Mac Lane still the best place to start? Basic Category Theory F. It gives an introduction to category theory assuming only minimal knowledge in set theory, algebra or topology.

See the nLab page metacategory http: Category theory for working mathematicians I’ve already said a lot about this S. The paper can be obtained at– http: Higher Topos Theory http: Of course, there is no canonical way to approach learning higher category theory, so adjust the readings as needed.


The n-category cafe, to keep you going. Handbook of Categorical Algebra 3: There’s a bit of truth to that, Mariano, although “most of category theory” is an exaggeration, and it doesn’t fategory the OP’s concern.

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. Horst Herrlich was professor of mathematics at the University of Bremen, Germany. 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.

You have to herrllch down and really learn category theory. Rarely have I had a question about categories which it has been unable theor answer.