Accessible Categories The Foundations of Categorical Model Theory is popular PDF and ePub book, written by Mihály Makkai in 1989, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Accessible Categories The Foundations of Categorical Model Theory can be Read Online from any device for your convenience.
Accessible Categories The Foundations of Categorical Model Theory Book PDF Summary
Intended for category theorists and logicians familiar with basic category theory, this book focuses on categorical model theory, which is concerned with the categories of models of infinitary first order theories, called accessible categories. The starting point is a characterization of accessible categories in terms of concepts familiar from Gabriel-Ulmer's theory of locally presentable categories. Most of the work centers on various constructions (such as weighted bilimits and lax colimits), which, when performed on accessible categories, yield new accessible categories. These constructions are necessarily 2-categorical in nature; the authors cover some aspects of 2-category theory, in addition to some basic model theory, and some set theory. One of the main tools used in this study is the theory of mixed sketches, which the authors specialize to give concrete results about model theory. Many examples illustrate the extent of applicability of these concepts. In particular, some applications to topos theory are given. Perhaps the book's most significant contribution is the way it sets model theory in categorical terms, opening the door for further work along these lines. Requiring a basic background in category theory, this book will provide readers with an understanding of model theory in categorical terms, familiarity with 2-categorical methods, and a useful tool for studying toposes and other categories.
Detail Book of Accessible Categories The Foundations of Categorical Model Theory PDF
- Author : Mihály Makkai
- Release : 20 September 1989
- Publisher : American Mathematical Soc.
- ISBN : 9780821851111
- Genre : Mathematics
- Total Page : 186 pages
- Language : English
- PDF File Size : 9,5 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Accessible Categories The Foundations of Categorical Model Theory by Mihály Makkai, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.