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Models for Smooth Infinitesimal Analysis Ieke Moerdijk Softcover reprint of hardcover 1st ed. 1991 edition
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Models for Smooth Infinitesimal Analysis
Ieke Moerdijk
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.
| Media | Bøker Pocketbok (Bok med mykt omslag og limt rygg) |
| Utgitt | 1. desember 2010 |
| ISBN13 | 9781441930958 |
| Utgivere | Springer-Verlag New York Inc. |
| Antall sider | 400 |
| Mål | 155 × 235 × 21 mm · 576 g |
| Språk | Engelsk |