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Models for Smooth Infinitesimal Analysis

Ieke Moerdijk, Gonzalo E. Reyes
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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. To this end, the techniques of Grothendieck toposes (and the logic inherent to them) are explained at a leisurely pace and applied. By discussing topics such as integration, cohomology and vector bundles in the new context, the adequacy of these new spaces for analysis and geometry will be illustrated and the connection to the classical approach to C?-manifolds will be explained.
      Format: CONTRIBUTORS: Ieke Moerdijk, Gonzalo E. Reyes EAN: 9780387974897 COUNTRY: United States PAGES: WEIGHT: 1660 g HEIGHT: 235 cm
      PUBLISHED BY: Springer-Verlag New York Inc. DATE PUBLISHED: 1990-12-17 CITY: GENRE: MATHEMATICS / Mathematical Analysis, MATHEMATICS / Topology WIDTH: 155 cm SPINE:

      Book Themes:

      Calculus and mathematical analysis, Topology

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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. To this end, the techniques of Grothendieck toposes (and the logic inherent to them) are explained at a leisurely pace and applied. By discussing topics such as integration, cohomology and vector bundles in the new context, the adequacy of these new spaces for analysis and geometry will be illustrated and the connection to the classical approach to C?-manifolds will be explained.
      Format: CONTRIBUTORS: Ieke Moerdijk, Gonzalo E. Reyes EAN: 9780387974897 COUNTRY: United States PAGES: WEIGHT: 1660 g HEIGHT: 235 cm
      PUBLISHED BY: Springer-Verlag New York Inc. DATE PUBLISHED: 1990-12-17 CITY: GENRE: MATHEMATICS / Mathematical Analysis, MATHEMATICS / Topology WIDTH: 155 cm SPINE:

      Book Themes:

      Calculus and mathematical analysis, Topology

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