Proper Maps Of Toposes

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Proper Maps Of Toposes

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Author : Ieke Moerdijk
language : en
Publisher: American Mathematical Soc.
Release Date : 2000

Proper Maps Of Toposes written by Ieke Moerdijk 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 2000 with Mathematics categories.

We develop the theory of compactness of maps between toposes, together with associated notions of separatedness. This theory is built around two versions of "propriety" for topos maps, introduced here in a parallel fashion. The first, giving what we simply call "proper" maps, is a relatively weak condition due to Johnstone. The second kind of proper maps, here called "tidy", satisfy a stronger condition due to Tierney and Lindgren. Various forms of the Beck-Chevalley condition for (lax) fibered product squares of toposes play a central role in the development of the theory. Applications include a version of the Reeb stability theorem for toposes, a characterization of hyperconnected Hausdorff toposes as classifying toposes of compact groups, and of strongly Hausdorff coherent toposes as classifiying toposes of profinite groupoids. Our results also enable us to develop further particular aspects of the factorization theory of geometric morphisms studied by Johnstone. Our final application is a (so-called lax) descent theorem for tidy maps between toposes. This theorem implies the lax descent theorem for coherent toposes, conjectured by Makkai and proved earlier by Zawadowski.

Proper Maps Of Toposes

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Author : Ieke Moerdijk
language : en
Publisher:
Release Date : 2014-09-11

Proper Maps Of Toposes written by Ieke Moerdijk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with Mappings categories.

Develops the theory of compactness of maps between toposes, together with associated notions of separatedness; this theory is built around two versions of 'propriety' for topos maps, which is introduced in a parallel fashion.

Sketches Of An Elephant

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Author : Peter T. Johnstone
language : en
Publisher: Oxford University Press
Release Date : 2002

Sketches Of An Elephant written by Peter T. Johnstone 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 2002 with Toposes categories.

Topoi

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Author : Robert Goldblatt
language : en
Publisher: Courier Corporation
Release Date : 2013-07-25

Topoi written by Robert Goldblatt and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-25 with Mathematics categories.

A classic exposition of a branch of mathematical logic that uses category theory, this text is suitable for advanced undergraduates and graduate students and accessible to both philosophically and mathematically oriented readers.

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.

Categorical Aspects Of Topology And Analysis

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Author : B. Banaschewski
language : en
Publisher: Springer
Release Date : 2006-11-14

Categorical Aspects Of Topology And Analysis written by B. Banaschewski 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.

Mathematical Reviews

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Author :
language : en
Publisher:
Release Date : 2007

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.

Singular Coverings Of Toposes

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Author : Marta Bunge
language : en
Publisher: Springer
Release Date : 2007-01-19

Singular Coverings Of Toposes written by Marta Bunge and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-19 with Mathematics categories.

This volume presents a self-contained theory of certain singular coverings of toposes, including branched coverings. This book is distinguished from classical treatments of the subject by its unexpected connection with a topic from functional analysis, namely, distributions. Although primarily aimed at topos theorists, this book may also be used as a textbook for advanced graduate courses introducing topos theory with an emphasis on geometric applications.

Mutual Invadability Implies Coexistence In Spatial Models

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Author : Richard Durrett
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

Mutual Invadability Implies Coexistence In Spatial Models written by Richard Durrett 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 2002 with Mathematics categories.

In (1994) Durrett and Levin proposed that the equilibrium behavior of stochastic spatial models could be determined from properties of the solution of the mean field ordinary differential equation (ODE) that is obtained by pretending that all sites are always independent. Here we prove a general result in support of that picture. We give a condition on an ordinary differential equation which implies that densities stay bounded away from 0 in the associated reaction-diffusion equation, and that coexistence occurs in the stochastic spatial model with fast stirring. Then using biologists' notion of invadability as a guide, we show how this condition can be checked in a wide variety of examples that involve two or three species: epidemics, diploid genetics models, predator-prey systems, and various competition models.

Maximum Entropy Of Cycles Of Even Period

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Author : Deborah Martina King
language : en
Publisher: American Mathematical Soc.
Release Date : 2001

Maximum Entropy Of Cycles Of Even Period written by Deborah Martina King 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 2001 with Mathematics categories.

This book is intended for graduate students and research mathematicians interested in dynamical systems and ergodic theory.