Cyrus F. Nourani

A Functorial Model Theory (eBook, PDF)

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

• Format: PDF

Produktbeschreibung

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 cat

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 302
• Erscheinungstermin: 19. April 2016
• Englisch
• ISBN-13: 9781482231502
• Artikelnr.: 40392465

Autorenporträt

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.

Inhaltsangabe

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.