Towards A Definition Of Topos
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Towards A Definition Of Topos
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Author : Lynette Hunter
language : en
Publisher: Springer
Release Date : 1991-06-18
Towards A Definition Of Topos written by Lynette Hunter and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-06-18 with Literary Criticism categories.
Allegories, rhetoric, imagery, commonplaces, cliches and archetypes are discussed in connection with the literary work of authors such as Montaigne, Shakespeare, Jules Verne, Emile Zola and James Joyce.
Toward A Definition Of Topos
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Author : Lynette Hunter
language : en
Publisher:
Release Date : 1991
Toward A Definition Of Topos written by Lynette Hunter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Literary Criticism categories.
Allegories, rhetoric, imagery, commonplaces, cliches and archetypes are discussed in connection with the literary work of authors such as Montaigne, Shakespeare, Jules Verne, Emile Zola and James Joyce.
Higher Topos Theory
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Author : Jacob Lurie
language : en
Publisher: Princeton University Press
Release Date : 2009-07-06
Higher Topos Theory written by Jacob Lurie and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-06 with Mathematics categories.
Higher category theory is generally regarded as technical and forbidding, but part of it is considerably more tractable: the theory of infinity-categories, higher categories in which all higher morphisms are assumed to be invertible. 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. The result is a powerful theory with applications in many areas of mathematics. The book's first five chapters give an exposition of the theory of infinity-categories that emphasizes their role as a generalization of ordinary categories. Many of the fundamental ideas from classical category theory are generalized to the infinity-categorical setting, such as limits and colimits, adjoint functors, ind-objects and pro-objects, locally accessible and presentable categories, Grothendieck fibrations, presheaves, and Yoneda's lemma. A sixth chapter presents an infinity-categorical version of the theory of Grothendieck topoi, introducing the notion of an infinity-topos, an infinity-category that resembles the infinity-category of topological spaces in the sense that it satisfies certain axioms that codify some of the basic principles of algebraic topology. A seventh and final chapter presents applications that illustrate connections between the theory of higher topoi and ideas from classical topology.
Routledge Dictionary Of Language And Linguistics
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Author : Hadumod Bussmann
language : en
Publisher: Routledge
Release Date : 2006-02-20
Routledge Dictionary Of Language And Linguistics written by Hadumod Bussmann and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-20 with Foreign Language Study categories.
The Routledge Dictionary of Language and Linguistics is a unique reference work for students and teachers of linguistics. The highly regarded second edition of the Lexikon der Sprachwissenschaft by Hadumod Bussmann has been specifically adapted by a team of over thirty specialist linguists to form the most comprehensive and up-to-date work of its kind in the English language. In over 2,500 entries, the Dictionary provides an exhaustive survey of the key terminology and languages of more than 30 subdisciplines of linguistics. With its term-based approach and emphasis on clear analysis, it complements perfectly Routledge's established range of reference material in the field of linguistics.
Aristotle S Topics
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Author : Paul Slomkowski
language : en
Publisher: BRILL
Release Date : 2016-06-21
Aristotle S Topics written by Paul Slomkowski and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-21 with Philosophy categories.
This work deals with Aristotle's Topics, a textbook on how to argue successfully in a debate organised in a certain way. The origins of the three branches of logic can be found here: logic of propositions, of predicates and of relations. Having dealt with the structure of the dialectical debates and the theory of the predicables, the central notion of the topos is analysed. Topoi are principles of arguments designed to help a disputant refute his opponent and function as hypotheses in hypothetical syllogisms, the main form of argument in the Topics. Traces of the crystallization of their theory can be found in the Topics and Analytics. The author analyses a selection of topoi including those according to which categorical and relational syllogisms are constructed.
The Intertexture Of Apocalyptic Discourse In The New Testament
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Author : Duane Frederick Watson
language : en
Publisher: BRILL
Release Date : 2002
The Intertexture Of Apocalyptic Discourse In The New Testament written by Duane Frederick Watson and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Religion categories.
These essays examine the intertexture of apocalyptic discourse in the New Testament: what the discourse represents, refers to, and uses of outside phenomena. Intertexture includes references in the Hebrew Bible, intertestamental and Greco-Roman texts, and social and cultural phenomena. Paperback edition is available from the Society of Biblical Literature (www.sbl-site.org).
Towards Higher Categories
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Author : John C. Baez
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-09-24
Towards Higher Categories written by John C. Baez 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 2009-09-24 with Algebra categories.
The purpose of this book is to give background for those who would like to delve into some higher category theory. It is not a primer on higher category theory itself. It begins with a paper by John Baez and Michael Shulman which explores informally, by analogy and direct connection, how cohomology and other tools of algebraic topology are seen through the eyes of n-category theory. The idea is to give some of the motivations behind this subject. There are then two survey articles, by Julie Bergner and Simona Paoli, about (infinity,1) categories and about the algebraic modelling of homotopy n-types. These are areas that are particularly well understood, and where a fully integrated theory exists. The main focus of the book is on the richness to be found in the theory of bicategories, which gives the essential starting point towards the understanding of higher categorical structures. An article by Stephen Lack gives a thorough, but informal, guide to this theory. A paper by Larry Breen on the theory of gerbes shows how such categorical structures appear in differential geometry. This book is dedicated to Max Kelly, the founder of the Australian school of category theory, and an historical paper by Ross Street describes its development.
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.
Theories Sites Toposes
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Author : Olivia Caramello
language : en
Publisher: Oxford University Press
Release Date : 2018-01-19
Theories Sites Toposes written by Olivia Caramello and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-19 with Philosophy categories.
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.
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.