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.
|Published (Last):||6 February 2014|
|PDF File Size:||11.79 Mb|
|ePub File Size:||6.62 Mb|
|Price:||Free* [*Free Regsitration Required]|
Category theory: an introduction – Horst Herrlich, George E. Strecker – Google Books
Natural transformations and natural isomorphisms. My full review can be found here. Sign up using Email and Password. Normal and exact categories. Handbook of Categorical Algebra 3: Category theory for working mathematicians I’ve already said a lot about this S.
Rarely have I had a question about categories which it has been unable to answer. Initial, terminal, and zero objects. Student has knowledge of 1-category theory but not simplicial sets and wishes to get an in depth experience of infinity-category theory, allowing an ‘ample’ amount of time. Limits in functor categories. Horst Herrlich, George E.
John Baez, in his not so weekly blog, inspiring. As far as a textbook for 1-category theory goes, I’m fond of Awodey’s book. ACC is good too, but tehory rather idiosyncratic in different ways than Mac Lane. Best of all, it’s much cheaper then MacLane! Sets, classes, and conglomerates.
Best paper to get a feel for Category Theory is “When is one thing equal to some other thing” by Barry Mazur. Eventually, Mac Lane began to make sense, as did Borceux; but oh, ever so slowly.
On the Classification of Topological Field Theories http: Epi, extremal mono and extremal epi, mono categories.
Sigma Series in Pure Mathematics — Volume 1. 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: Or has this subject become so separate nowadays that strwcker are no longer counting it into category theory?
I’m a big fan of Borceux’s Handbook of Categorical Algebra 1. An elementary illustrated introduction to simplicial sets 2 J. Simplicial Homotopy Theory catehory 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.
The attempt 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. You have to hunker down and really learn category theory.
Sign up or log in Sign up using Google. Constant morphisms, zero morphisms, and pointed categories. Ctegory gives an introduction to category theory assuming only minimal knowledge in set theory, algebra or topology. 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.
For further roadmaps on learning higher category theory, look at this nForum discussion on reading Lurie’s Higher Topos Theory http: Category Theory in Context by Emily Riehl.
Isomorphisms and equivalences of categories. Sign up using Facebook. Catrgory developed over the last several years from courses in category theory that Riehl has taught at Harvard and John Hopkins University to strong undergraduates and first year graduate students. If you’re interested in category theory, this is the book you srtecker to learn from. Is Mac Lane still the best place to start?
Post as a guest Name. I found the Catsters on YouTube divinely useful. Each chapter contains numerous exercises for further study and control. Email Required, but never shown. Anyway there isn’t a best book to learn basic herrlch 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:.
Baez’s TWF will give one a taste of a variety of topics, definitely. A lot of thanks to Konrad Stgecker. I’m a fan of Kashiwara and Schapira’s “Categories and sheaves” Characterization and generation of E-reflective subcategories.