Ieke Moerdijk
Models for Smooth Infinitesimal Analysis Ieke Moerdijk Softcover reprint of hardcover 1st ed. 1991 edition

Name: Models for Smooth Infinitesimal Analysis
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Author: Ieke Moerdijk

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Hardcover Book

1991 edition

(1990) ¥ 30.269

Models for Smooth Infinitesimal Analysis

Ieke Moerdijk

Softcover reprint of hardcover 1st ed. 1991 edition

The aim of this book is to construct categories of spaces which contain all the C?-manifolds, but in addition infinitesimal spaces and arbitrary function spaces.

Marc Notes: Originally published: 1991.; 8; This text constructs categories of spaces which contain all the C?-manifolds, but in addition infinitesimal spaces and arbitrary function spaces. To this end, the techniques of Grothendieck toposes (and the logic inherent to them) are explained at a leisurely pace and applied. Table of Contents: I C?-Rings.- II C?-Rings as Variable Spaces.- III Two Archimedean Models for Synthetic Calculus.- IV Cohomology and Integration.- V Connections on Microlinear Spaces.- VI Models with Invertible Infinitesimals.- VII Smooth Infinitesimal Analysis.- Appendix 1: Sheaves and Forcing.- 1 Sites.- 2 Sheaves.- 3 Forcing.- Appendix 2: A survey of models.- Appendix 3: The integration axiom.- Appendix 4: The amazing right adjoint.- Appendix 5: Comments, References and Further Developments.- Index of symbols. Publisher Marketing: This text constructs categories of spaces which contain all the C?-manifolds, but in addition infinitesimal spaces and arbitrary function spaces. To this end, the techniques of Grothendieck toposes (and the logic inherent to them) are explained at a leisurely pace and applied.

Contributor Bio: Reyes, Gonzalo E Reyes is Professor of Mathematics at the University of Montreal.

メディア	書籍 Paperback Book (ソフトカバーで背表紙を接着した本)
リリース済み	2010年12月1日
ISBN13	9781441930958
出版社	Springer-Verlag New York Inc.
ページ数	400
寸法	155 × 235 × 21 mm · 576 g
言語	英語