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Models for Smooth Infinitesimal Analysis Book

Models for Smooth Infinitesimal Analysis
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Models for Smooth Infinitesimal Analysis, 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. To this end, the techniques of Grothendieck toposes (and the logic inherent to them) are expl, Models for Smooth Infinitesimal Analysis
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  • Models for Smooth Infinitesimal Analysis
  • Written by author Moerdijk, Ieke, Reyes, Gonzalo E
  • Published by Springer-Verlag New York, LLC, 12/1/2010
  • 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. To this end, the techniques of Grothendieck toposes (and the logic inherent to them) are expl
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Contents: C?-Rings.- C?-Rings as Variable Spaces.- Two Archimedean Models for Synthetic Calculus.- Cohomology and Integration.- Connections on Microlinear Spaces.- Models with Invertible Infinitesimals.- Smooth Infinitesimal Analysis.- Appendix 1: Sheaves and 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.- Index of Symbols.- Bibliography.


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Models for Smooth Infinitesimal Analysis, 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. To this end, the techniques of Grothendieck toposes (and the logic inherent to them) are expl, Models for Smooth Infinitesimal Analysis

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Models for Smooth Infinitesimal Analysis, 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. To this end, the techniques of Grothendieck toposes (and the logic inherent to them) are expl, Models for Smooth Infinitesimal Analysis

Models for Smooth Infinitesimal Analysis

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Models for Smooth Infinitesimal Analysis, 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. To this end, the techniques of Grothendieck toposes (and the logic inherent to them) are expl, Models for Smooth Infinitesimal Analysis

Models for Smooth Infinitesimal Analysis

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