Set Theory and Logic


Modules and Universal Constructions

Authors: Takahiro Kato

Modules (also known as profunctors or distributors) and morphisms among them subsume categories and functors and provide more general and abstract framework to explore the theory of structures, in particular, the notion of universal property. In this book we generalize and redevelop the basic notions and results of various universal constructions in category theory using this framework of modules.

Comments: 374 Pages.

Download: PDF

Submission history

[v1] 2015-03-12 05:25:13 (removed)
[v2] 2015-12-04 03:26:41 (removed)
[v3] 2016-02-02 04:09:25 (removed)
[v4] 2017-04-15 05:17:43 (removed)
[v5] 2017-04-29 04:29:24 (removed)
[v6] 2017-05-25 01:10:03 (removed)
[v7] 2018-09-21 03:40:29 (removed)
[v8] 2018-10-01 22:31:51 (removed)
[v9] 2019-05-07 19:36:52 (removed)
[vA] 2019-05-22 00:39:02 (removed)
[vB] 2019-06-19 04:06:24

Unique-IP document downloads: 793 times is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus