A Functorial Model Theory

Newer Applications to Algebraic Topology, Descriptive Sets, and Computing Categories Topos
1. Auflage 2014
ISBN: 978-1-926895-92-5
Verlag: Taylor & Francis Ltd (Sales)

Buch, Englisch, 302 Seiten, Format (B × H): 157 mm x 231 mm, Gewicht: 544 g

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.

Zielgruppe

Computational and mathematics researchers.

Autoren/Hrsg.

Nourani, Cyrus F

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Mengenlehre
• Mathematik | Informatik Mathematik Geometrie
• Mathematik | Informatik Mathematik Algebra

Inhaltsverzeichnis

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.

Über Autor(innen)

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.