Model Theory And Topoi

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Model Theory And Topoi

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Author : F.W. Lawvere
language : en
Publisher: Springer
Release Date : 2006-11-15

Model Theory And Topoi written by F.W. Lawvere and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

A Collection of Lectures by Variuos Authors

Topos Theory

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Author : P.T. Johnstone
language : en
Publisher: Courier Corporation
Release Date : 2014-01-15

Topos Theory written by P.T. Johnstone and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with Mathematics categories.

Focusing on topos theory's integration of geometric and logical ideas into the foundations of mathematics and theoretical computer science, this volume explores internal category theory, topologies and sheaves, geometric morphisms, and other subjects. 1977 edition.

Toposes And Local Set Theories

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Author : J. L. Bell
language : en
Publisher: Dover Publications
Release Date : 2013-12-11

Toposes And Local Set Theories written by J. L. Bell and has been published by Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-11 with categories.

This introduction to topos theory examines local set theories, fundamental properties of toposes, sheaves, locale-valued sets, and natural and real numbers in local set theories. 1988 edition.

Temporal Type Theory

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Author : Patrick Schultz
language : en
Publisher: Springer
Release Date : 2019-01-29

Temporal Type Theory written by Patrick Schultz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-29 with Mathematics categories.

This innovative monograph explores a new mathematical formalism in higher-order temporal logic for proving properties about the behavior of systems. Developed by the authors, the goal of this novel approach is to explain what occurs when multiple, distinct system components interact by using a category-theoretic description of behavior types based on sheaves. The authors demonstrate how to analyze the behaviors of elements in continuous and discrete dynamical systems so that each can be translated and compared to one another. Their temporal logic is also flexible enough that it can serve as a framework for other logics that work with similar models. The book begins with a discussion of behavior types, interval domains, and translation invariance, which serves as the groundwork for temporal type theory. From there, the authors lay out the logical preliminaries they need for their temporal modalities and explain the soundness of those logical semantics. These results are then applied to hybrid dynamical systems, differential equations, and labeled transition systems. A case study involving aircraft separation within the National Airspace System is provided to illustrate temporal type theory in action. Researchers in computer science, logic, and mathematics interested in topos-theoretic and category-theory-friendly approaches to system behavior will find this monograph to be an important resource. It can also serve as a supplemental text for a specialized graduate topics course.

Classifying Spaces And Classifying Topoi

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Author : Izak Moerdijk
language : en
Publisher: Springer
Release Date : 2006-11-14

Classifying Spaces And Classifying Topoi written by Izak Moerdijk and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

This monograph presents a new, systematic treatment of the relation between classifying topoi and classifying spaces of topological categories. Using a new generalized geometric realization which applies to topoi, a weak homotopy equival- ence is constructed between the classifying space and the classifying topos of any small (topological) category. Topos theory is then applied to give an answer to the question of what structures are classified by "classifying" spaces. The monograph should be accessible to anyone with basic knowledge of algebraic topology, sheaf theory, and a little topos theory.

The Topos Of Music I Theory

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Author : Guerino Mazzola
language : en
Publisher: Springer
Release Date : 2018-03-28

The Topos Of Music I Theory written by Guerino Mazzola and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-28 with Mathematics categories.

This is the first volume of the second edition of the now classic book “The Topos of Music”. The author explains the theory's conceptual framework of denotators and forms, the classification of local and global musical objects, the mathematical models of harmony and counterpoint, and topologies for rhythm and motives.

Model Theory And Topoi

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Author : F. W. Lawvere
language : en
Publisher:
Release Date : 1975

Model Theory And Topoi written by F. W. Lawvere and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Model theory categories.

Locally Presentable And Accessible Categories

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Author : Jiri Adamek (ing)
language : en
Publisher: Cambridge University Press
Release Date : 1994-03-10

Locally Presentable And Accessible Categories written by Jiri Adamek (ing) 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 1994-03-10 with Mathematics categories.

First the concepts of [lambda]-presentable objects, locally [lambda]-presentable categories, and [lambda]-accessible categories are discussed in detail. The authors go on to prove that Freyd's essentially algebraic categories are precisely the locally presentable categories. In the final chapter they treat some advanced topics in model theory. For researchers in category theory, algebra, computer science, and model theory, this book will be a necessary purchase.

Elements Of Category Theory

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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.

Topos Theory

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Author : P.T. Johnstone
language : en
Publisher: Courier Corporation
Release Date : 2014-01-05

Topos Theory written by P.T. Johnstone and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-05 with Mathematics categories.

Focusing on topos theory's integration of geometric and logical ideas into the foundations of mathematics and theoretical computer science, this volume explores internal category theory, topologies and sheaves, geometric morphisms, and other subjects. 1977 edition.