A Functorial Model Theory
Newer Applications to Algebraic Topology, Descriptive Sets, and Computing Categories Topos
1st Edition
Published on 31. March 2021
Book
Paperback/Softback
302 pages
978-1-77463-310-6 (ISBN)
Description
This book is an introduction to a functorial model theory based on infinitary language categories. The author introduces the properties and foundation of these categories before developing a model theory for functors starting with a countable fragment of an infinitary language. He also presents a new technique for generating generic models with categories by inventing infinite language categories and functorial model theory. In addition, the book covers string models, limit models, and functorial models.
More details
Language
English
Place of publication
Oakville
Canada
Target group
College/higher education
Professional and scholarly
Academic and Postgraduate
Illustrations
25 s/w Abbildungen
25 Illustrations, black and white
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 16 mm
Weight
443 gr
ISBN-13
978-1-77463-310-6 (9781774633106)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Cyrus F. Nourani
A Functorial Model Theory
Newer Applications to Algebraic Topology, Descriptive Sets, and Computing Categories Topos
E-Book
04/2016
1st Edition
Apple Academic Press Inc.
€158.99
Available for download
Cyrus F. Nourani
A Functorial Model Theory
Newer Applications to Algebraic Topology, Descriptive Sets, and Computing Categories Topos
Book
02/2014
1st Edition
Apple Academic Press Inc.
€173.40
Shipment within 3-4 weeks
Person
Dr. Cyrus F. Nourani is a consultant in computing R&D and a research professor at Simon Fraser University. He has many years of experience in the design and implementation of computing systems and has authored/coauthored several books and over 350 publications in mathematics and computer science. He has also held faculty positions at numerous institutions, including the University of Michigan, University of Pennsylvania, University of Auckland, UCLA, and MIT. His research interests include computer science, artificial intelligence, mathematics, virtual haptic computation, information technology, and management.
Content
Introduction. Categorical Preliminaries. Infinite Language Categories. Functorial Fragment Model Theory. Algebraic Theories, Categories, and Models. Generic Functorial Models and Topos. Models, Sheaves, and Topos. Functors on Fields. Filters and Ultraproducts on Projective Sets. A Glimpse on Algebraic Set Theory. Index.