Accessible Categories The Foundations Of Categorical Model Theory
DOWNLOAD
Download Accessible Categories The Foundations Of Categorical Model Theory PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Accessible Categories The Foundations Of Categorical Model Theory book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Accessible Categories The Foundations Of Categorical Model Theory
DOWNLOAD
Author : Mihály Makkai
language : en
Publisher: American Mathematical Soc.
Release Date : 1989
Accessible Categories The Foundations Of Categorical Model Theory written by Mihály Makkai and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
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.
Accessible Categories The Foundations Of Categorical Model Theory
DOWNLOAD
Author : Mihály Makkai
language : en
Publisher:
Release Date : 1987
Accessible Categories The Foundations Of Categorical Model Theory written by Mihály Makkai and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Model Theory And The Philosophy Of Mathematical Practice
DOWNLOAD
Author : John T. Baldwin
language : en
Publisher: Cambridge University Press
Release Date : 2018-01-25
Model Theory And The Philosophy Of Mathematical Practice written by John T. Baldwin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-25 with Mathematics categories.
Recounts the modern transformation of model theory and its effects on the philosophy of mathematics and mathematical practice.
Definable Additive Categories Purity And Model Theory
DOWNLOAD
Author : Mike Prest
language : en
Publisher: American Mathematical Soc.
Release Date : 2011-02-07
Definable Additive Categories Purity And Model Theory written by Mike Prest and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-07 with Mathematics categories.
Most of the model theory of modules works, with only minor modifications, in much more general additive contexts (such as functor categories, categories of comodules, categories of sheaves). Furthermore, even within a given category of modules, many subcategories form a ``self-sufficient'' context in which the model theory may be developed without reference to the larger category of modules. The notion of a definable additive category covers all these contexts. The (imaginaries) language which one uses for model theory in a definable additive category can be obtained from the category (of structures and homomorphisms) itself, namely, as the category of those functors to the category of abelian groups which commute with products and direct limits. Dually, the objects of the definable category--the modules (or functors, or comodules, or sheaves)--to which that model theory applies may be recovered as the exact functors from the, small abelian, category (the category of pp-imaginaries) which underlies that language.
Functor Categories Model Theory Algebraic Analysis And Constructive Methods
DOWNLOAD
Author : Alexander Martsinkovsky
language : en
Publisher: Springer Nature
Release Date :
Functor Categories Model Theory Algebraic Analysis And Constructive Methods written by Alexander Martsinkovsky and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Sets And Extensions In The Twentieth Century
DOWNLOAD
Author :
language : en
Publisher: Elsevier
Release Date : 2012-01-24
Sets And Extensions In The Twentieth Century written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-24 with Mathematics categories.
Set theory is an autonomous and sophisticated field of mathematics that is extremely successful at analyzing mathematical propositions and gauging their consistency strength. It is as a field of mathematics that both proceeds with its own internal questions and is capable of contextualizing over a broad range, which makes set theory an intriguing and highly distinctive subject. This handbook covers the rich history of scientific turning points in set theory, providing fresh insights and points of view. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in mathematics, the history of philosophy, and any discipline such as computer science, cognitive psychology, and artificial intelligence, for whom the historical background of his or her work is a salient consideration Serves as a singular contribution to the intellectual history of the 20th century Contains the latest scholarly discoveries and interpretative insights
Models Logics And Higher Dimensional Categories
DOWNLOAD
Author : Bradd T. Hart
language : en
Publisher: American Mathematical Soc.
Release Date :
Models Logics And Higher Dimensional Categories written by Bradd T. Hart and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Proceedings of a conference held at Centre de recherches mathematiques of the Universite de Montreal, June 18-20, 2009.
Elements Of Category Theory
DOWNLOAD
Author : Emily Riehl
language : en
Publisher: Cambridge University Press
Release Date : 2022-02-10
Elements Of Category Theory written by Emily Riehl and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-10 with Mathematics categories.
This book develops the theory of infinite-dimensional categories by studying the universe, or ∞-cosmos, in which they live.
Big Data Integration Theory
DOWNLOAD
Author : Zoran Majkić
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-01-23
Big Data Integration Theory written by Zoran Majkić and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-23 with Computers categories.
This book presents a novel approach to database concepts, describing a categorical logic for database schema mapping based on views, within a framework for database integration/exchange and peer-to-peer. Database mappings, database programming languages, and denotational and operational semantics are discussed in depth. An analysis method is also developed that combines techniques from second order logic, data modeling, co-algebras and functorial categorial semantics. Features: provides an introduction to logics, co-algebras, databases, schema mappings and category theory; describes the core concepts of big data integration theory, with examples; examines the properties of the DB category; defines the categorial RDB machine; presents full operational semantics for database mappings; discusses matching and merging operators for databases, universal algebra considerations and algebraic lattices of the databases; explores the relationship of the database weak monoidal topos w.r.t. intuitionistic logic.
Handbook Of Homotopy Theory
DOWNLOAD
Author : Haynes Miller
language : en
Publisher: CRC Press
Release Date : 2020-01-23
Handbook Of Homotopy Theory written by Haynes Miller and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-23 with Mathematics categories.
The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other mathematical disciplines. The origins of the subject date back to work of Henri Poincaré and Heinz Hopf in the early 20th century, but it has seen enormous progress in the 21st century. A highlight of this volume is an introduction to and diverse applications of the newly established foundational theory of ¥ -categories. The coverage is vast, ranging from axiomatic to applied, from foundational to computational, and includes surveys of applications both geometric and algebraic. The contributors are among the most active and creative researchers in the field. The 22 chapters by 31 contributors are designed to address novices, as well as established mathematicians, interested in learning the state of the art in this field, whose methods are of increasing importance in many other areas.