[TYPES] Book on Category Theory

[Aaron Gray]

Thanks everyone, but as far as I can tell none of these books give me any
real stuff on covariance, contravariance, anamophisms and catamophisms.

On 19 October 2017 at 16:59, John Leo <leo at halfaya.org> wrote:

> I agree Pierce's book is great, and my favorite overall reference Awodey
> also has some material on applications to type theory.
>
> For specific connections, the best sources are probably lecture notes for
> various summer school courses.  My three favorites are those in the
> "Category Theory and Functional Programming" section of this page:
> https://github.com/halfaya/BayHac/blob/master/references.md
>
> John
>
>
>
> On Thu, Oct 19, 2017 at 2:50 AM, Moez A. AbdelGawad <moez at cs.rice.edu>
> wrote:
>
>> [ The Types Forum, http://lists.seas.upenn.edu/ma
>> ilman/listinfo/types-list ]
>>
>> In addition to Pierce's book, which was earlier mentioned, I strongly
>> recommend Spivak's Category Theory for The Sciences and Lawvere &
>> Schanuel's Conceptual Mathematics. Even though neither book is specifically
>> for computer scientists, but both books are more modern, very accessible,
>> and frequently discuss CS applications.
>>
>> -Moez
>>
>> -------- Original message --------
>> From: Aaron Gray <aaronngray.lists at gmail.com>
>> Date: 18/10/2017  21:22  (GMT+02:00)
>> To: The TYPES forum <types-list at lists.seas.upenn.edu>
>> Subject: [TYPES] Book on Category Theory
>>
>> [ The Types Forum, http://lists.seas.upenn.edu/ma
>> ilman/listinfo/types-list ]
>>
>> I am looking for a book on Category Theory that is ideally either aimed at
>> Type Theory or has the relevant topics to support the area.
>>
>> I have bought three books on the topic so far, one 'Categories for Typesw'
>> by Crole did not even cover covariance and contravariance.I would also
>> like
>> coverage of monoid and monads, and morphisms like anamorphisms and
>> catamorphisms.
>>
>> I am also interested in papers applying category theory to areas of type
>> theory.
>>
>> Suggestions of either online or printed material would be appreciated.
>>
>> Many tahnks in advance,
>> --
>> Aaron Gray
>>
>> Independent Open Source Software Engineer, Computer Language Researcher,
>> Information Theorist, and amateur computer scientist.
>>
>
>


-- 
Aaron Gray

Independent Open Source Software Engineer, Computer Language Researcher,
Information Theorist, and amateur computer scientist.