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Model Theory and Topoi

Model Theory and Topoi PDF Author: F.W. Lawvere
Publisher: Springer
ISBN: 3540374957
Category : Mathematics
Languages : en
Pages : 352

Book Description
A Collection of Lectures by Variuos Authors

Model Theory and Topoi

Model Theory and Topoi PDF Author: F.W. Lawvere
Publisher: Springer
ISBN: 3540374957
Category : Mathematics
Languages : en
Pages : 352

Book Description
A Collection of Lectures by Variuos Authors

First Order Categorical Logic

First Order Categorical Logic PDF Author: M. Makkai
Publisher: Springer
ISBN: 3540371001
Category : Mathematics
Languages : en
Pages : 317

Book Description

Topos Theory

Topos Theory PDF Author: P.T. Johnstone
Publisher: Courier Corporation
ISBN: 0486493369
Category : Mathematics
Languages : en
Pages : 401

Book Description
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.

Higher Topos Theory

Higher Topos Theory PDF Author: Jacob Lurie
Publisher: Princeton University Press
ISBN: 0691140480
Category : Mathematics
Languages : en
Pages : 944

Book Description
In 'Higher Topos Theory', Jacob Lurie presents the foundations of this theory using the language of weak Kan complexes introduced by Boardman and Vogt, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language.

Toposes and Local Set Theories

Toposes and Local Set Theories PDF Author: John L. Bell
Publisher: Courier Corporation
ISBN: 0486462862
Category : Mathematics
Languages : en
Pages : 290

Book Description
This text introduces topos theory, a development in category theory that unites important but seemingly diverse notions from algebraic geometry, set theory, and intuitionistic logic. Topics include local set theories, fundamental properties of toposes, sheaves, local-valued sets, and natural and real numbers in local set theories. 1988 edition.

A Functorial Model Theory

A Functorial Model Theory PDF Author: Cyrus F. Nourani
Publisher: CRC Press
ISBN: 1482231506
Category : Mathematics
Languages : en
Pages : 296

Book Description
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.

Model Theory and Topoi

Model Theory and Topoi PDF Author: F. W. Lawvere
Publisher:
ISBN:
Category : Model theory
Languages : en
Pages : 354

Book Description

Sketches of an Elephant: A Topos Theory Compendium

Sketches of an Elephant: A Topos Theory Compendium PDF Author: P. T. Johnstone
Publisher: Oxford University Press
ISBN: 9780198515982
Category : Computers
Languages : en
Pages : 836

Book Description
Topos Theory is a subject that stands at the junction of geometry, mathematical logic and theoretical computer science, and it derives much of its power from the interplay of ideas drawn from these different areas. Because of this, an account of topos theory which approaches the subject from one particular direction can only hope to give a partial picture; the aim of this compendium is to present as comprehensive an account as possible of all the main approaches and to thereby demonstrate the overall unity of the subject. The material is organized in such a way that readers interested in following a particular line of approach may do so by starting at an appropriate point in the text.

The Topos of Music

The Topos of Music PDF Author: Guerino Mazzola
Publisher: Birkhäuser
ISBN: 303488141X
Category : Mathematics
Languages : en
Pages : 1310

Book Description
With contributions by numerous experts

The Topos of Music I: Theory

The Topos of Music I: Theory PDF Author: Guerino Mazzola
Publisher: Springer
ISBN: 3319643649
Category : Mathematics
Languages : en
Pages : 675

Book Description
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.
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