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Author : F. W. Lawvere
Publisher : Springer
ISBN 13 : 3540376097
Total Pages : 196 pages
Book Rating : 4.5/5 (43 download)
Download or read book Toposes, Algebraic Geometry and Logic written by F. W. Lawvere and published by Springer. This book was released on 2006-11-14 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : F. W. Lawvere
Publisher :
ISBN 13 : 9783662161463
Total Pages : 204 pages
Book Rating : 4.1/5 (614 download)
Download or read book Toposes, Algebraic Geometry and Logic written by F. W. Lawvere and published by . This book was released on 2014-01-15 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 : 9780387059204
Total Pages : 118 pages
Book Rating : 4.0/5 (592 download)
Download or read book Kompakt erzeugte Vektorräume und Analysis written by and published by . This book was released on 1964 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Saunders Mac Lane
Publisher :
ISBN 13 : 9783540977100
Total Pages : 627 pages
Book Rating : 4.9/5 (771 download)
Download or read book Sheaves in Geometry and Logic written by Saunders Mac Lane and published by . This book was released on 1992 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the theory of toposes which begins with illustrative examples and goes on to explain the underlying ideas of topology and sheaf theory as well as the general theory of elementary toposes and geometric morphisms and their relation to logic.
Author : Saunders MacLane
Publisher : Springer Science & Business Media
ISBN 13 : 0387977104
Total Pages : 650 pages
Book Rating : 4.3/5 (879 download)
Download or read book Sheaves in Geometry and Logic written by Saunders MacLane and published by Springer Science & Business Media. This book was released on 1994-10-27 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sheaves arose in geometry as coefficients for cohomology and as descriptions of the functions appropriate to various kinds of manifolds. Sheaves also appear in logic as carriers for models of set theory. This text presents topos theory as it has developed from the study of sheaves. Beginning with several examples, it explains the underlying ideas of topology and sheaf theory as well as the general theory of elementary toposes and geometric morphisms and their relation to logic.
Author : John L. Bell
Publisher : Courier Corporation
ISBN 13 : 0486462862
Total Pages : 290 pages
Book Rating : 4.4/5 (864 download)
Download or read book Toposes and Local Set Theories written by John L. Bell and published by Courier Corporation. This book was released on 2008-01-01 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : F. William Lawvere
Publisher :
ISBN 13 :
Total Pages : 189 pages
Book Rating : 4.:/5 (488 download)
Download or read book Toposes, Algebraic Geometry and Logic written by F. William Lawvere and published by . This book was released on 1972 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book TOPOSES- ALGEBRAIC GEOMETRY AND LOGIC- SELECTED PAPERS FROM A CONFERENCE ON CONNECTIONS BETWEEN CATEGORY THEORY AND ALGEBRAIC GEOMETRY AND INTUITIONISTIC LOGIC. written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
![Download I. Bucur [u.a.] Toposes, Algebraic geometry and logic PDF Online Free](https://books.google.com/books/content/images/frontcover/C26wtgAACAAJ?fife=w200-h370)
Download or read book I. Bucur [u.a.] Toposes, Algebraic geometry and logic written by and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : F. William Lawvere
Publisher :
ISBN 13 :
Total Pages : 189 pages
Book Rating : 4.:/5 (896 download)
Download or read book Toposes, algebraic geometry and logic written by F. William Lawvere and published by . This book was released on 1972 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P. T. Johnstone
Publisher : Oxford University Press
ISBN 13 : 9780198515982
Total Pages : 836 pages
Book Rating : 4.5/5 (159 download)
Download or read book Sketches of an Elephant: A Topos Theory Compendium written by P. T. Johnstone and published by Oxford University Press. This book was released on 2002-09-12 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : J. Barwise
Publisher : Elsevier
ISBN 13 : 0080933645
Total Pages : 1179 pages
Book Rating : 4.0/5 (89 download)
Download or read book Handbook of Mathematical Logic written by J. Barwise and published by Elsevier. This book was released on 1982-03-01 with total page 1179 pages. Available in PDF, EPUB and Kindle. Book excerpt: The handbook is divided into four parts: model theory, set theory, recursion theory and proof theory. Each of the four parts begins with a short guide to the chapters that follow. Each chapter is written for non-specialists in the field in question. Mathematicians will find that this book provides them with a unique opportunity to apprise themselves of developments in areas other than their own.
Author : Guerino Mazzola
Publisher : Springer
ISBN 13 : 3319643649
Total Pages : 675 pages
Book Rating : 4.3/5 (196 download)
Download or read book The Topos of Music I: Theory written by Guerino Mazzola and published by Springer. This book was released on 2018-03-28 with total page 675 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Proceedings of a Conference on Toposes, Algebraic Geometry and Logic, Dalhousie University, Halifax, January 16-19, 1971 written by and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Colin McLarty
Publisher : Clarendon Press
ISBN 13 : 0191589497
Total Pages : 282 pages
Book Rating : 4.1/5 (915 download)
Download or read book Elementary Categories, Elementary Toposes written by Colin McLarty and published by Clarendon Press. This book was released on 1992-06-04 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book covers elementary aspects of category theory and topos theory. It has few mathematical prerequisites, and uses categorical methods throughout rather than beginning with set theoretic foundations. It works with key notions such as cartesian closedness, adjunctions, regular categories, and the internal logic of a topos. Full statements and elementary proofs are given for the central theorems, including the fundamental theorem of toposes, the sheafification theorem, and the construction of Grothendieck toposes over any topos as base. Three chapters discuss applications of toposes in detail, namely to sets, to basic differential geometry, and to recursive analysis. - ;Introduction; PART I: CATEGORIES: Rudimentary structures in a category; Products, equalizers, and their duals; Groups; Sub-objects, pullbacks, and limits; Relations; Cartesian closed categories; Product operators and others; PART II: THE CATEGORY OF CATEGORIES: Functors and categories; Natural transformations; Adjunctions; Slice categories; Mathematical foundations; PART III: TOPOSES: Basics; The internal language; A soundness proof for topos logic; From the internal language to the topos; The fundamental theorem; External semantics; Natural number objects; Categories in a topos; Topologies; PART IV: SOME TOPOSES: Sets; Synthetic differential geometry; The effective topos; Relations in regular categories; Further reading; Bibliography; Index. -
Author : John Lane Bell
Publisher : Oxford University Press, USA
ISBN 13 : 9780198532743
Total Pages : 267 pages
Book Rating : 4.5/5 (327 download)
Download or read book Toposes and Local Set Theories written by John Lane Bell and published by Oxford University Press, USA. This book was released on 1988 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author introduces Lawvere and Tierney's concept of topos theory, a striking development in category theory that unites a number of important but seemingly diverse notions from algebraic geometry, set theory, and intuitionistic logic. Topos theory has led to the forging of surprising new links between classical and constructive mathematics. Bell presents toposes as the models of theories--the so-called local set theories--formulated within a typed intuitionistic logic.
Author : Olivia Caramello
Publisher : Oxford University Press
ISBN 13 : 019875891X
Total Pages : 381 pages
Book Rating : 4.1/5 (987 download)
Download or read book Theories, Sites, Toposes written by Olivia Caramello and published by Oxford University Press. This book was released on 2018 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: According to Grothendieck, the notion of topos is "the bed or deep river where come to be married geometry and algebra, topology and arithmetic, mathematical logic and category theory, the world of the continuous and that of discontinuous or discrete structures". It is what he had "conceived of most broad to perceive with finesse, by the same language rich of geometric resonances, an "essence" which is common to situations most distant from each other, coming from one region or another of the vast universe of mathematical things". The aim of this book is to present a theory and a number of techniques which allow to give substance to Grothendieck's vision by building on the notion of classifying topos educed by categorical logicians. Mathematical theories (formalized within first-order logic) give rise to geometric objects called sites; the passage from sites to their associated toposes embodies the passage from the logical presentation of theories to their mathematical content, i.e. from syntax to semantics. The essential ambiguity given by the fact that any topos is associated in general with an infinite number of theories or different sites allows to study the relations between different theories, and hence the theories themselves, by using toposes as 'bridges' between these different presentations. The expression or calculation of invariants of toposes in terms of the theories associated with them or their sites of definition generates a great number of results and notions varying according to the different types of presentation, giving rise to a veritable mathematical morphogenesis.
