Models for Smooth Infinitesimal Analysis - Ieke Moerdijk - Knihy - Springer-Verlag New York Inc. - 9781441930958 - 01. decembra 2010
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Ieke Moerdijk
Models for Smooth Infinitesimal Analysis Softcover reprint of hardcover 1st ed. 1991 edition

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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.

Médium Knihy     Paperback Book   (Kniha s mäkkou väzbou a lepeným chrbtom)
Vydané 01. decembra 2010
ISBN13 9781441930958
Vydavatelia Springer-Verlag New York Inc.
Strany 400
Rozmery 155 × 235 × 21 mm   ·   576 g
Jazyk Angličtina  

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