A Functorial Model Theory: Newer Applications to Algebraic Topology, Descriptive Sets, and Computing Categories...

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Cyrus F. Nourani

A Functorial Model Theory

Newer Applications to Algebraic Topology, Descriptive Sets, and Computing Categories Topos

Cyrus F. Nourani

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English

Apple Academic Press Inc.
31 March 2021

Set theory; Discrete mathematics; Algebra; Geometry

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.

By: Cyrus F. Nourani
Imprint: Apple Academic Press Inc.
Country of Publication: Canada
Dimensions: Height: 229mm, Width: 152mm,
Weight: 453g
ISBN: 9781774633106
ISBN 10: 1774633108
Pages: 302
Publication Date: 31 March 2021
Audience: College/higher education , General/trade , Primary , ELT Advanced
Format: Paperback
Publisher's Status: Active

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.

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.