Models for Smooth Infinitesimal Analysis:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1991
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| Subjects: | |
| Online Access: | Volltext |
| Item Description: | 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 |
| Physical Description: | 1 Online-Ressource (X, 400 p) |
| ISBN: | 9781475741438 9781441930958 |
| DOI: | 10.1007/978-1-4757-4143-8 |
Staff View
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| 500 | |a 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 | ||
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Record in the Search Index
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:09Z |
| institution | BVB |
| isbn | 9781475741438 9781441930958 |
| language | English |
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| publishDate | 1991 |
| publishDateSearch | 1991 |
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| publisher | Springer New York |
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| spelling | Moerdijk, Ieke Verfasser aut Models for Smooth Infinitesimal Analysis by Ieke Moerdijk, Gonzalo E. Reyes New York, NY Springer New York 1991 1 Online-Ressource (X, 400 p) txt rdacontent c rdamedia cr rdacarrier 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 Mathematics Global analysis (Mathematics) Cell aggregation / Mathematics Analysis Manifolds and Cell Complexes (incl. Diff.Topology) Mathematik Glatte Infinitesimalanalysis (DE-588)4253448-3 gnd rswk-swf Glatte Infinitesimalanalysis (DE-588)4253448-3 s 1\p DE-604 Reyes, Gonzalo E. Sonstige oth https://doi.org/10.1007/978-1-4757-4143-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Moerdijk, Ieke Models for Smooth Infinitesimal Analysis Mathematics Global analysis (Mathematics) Cell aggregation / Mathematics Analysis Manifolds and Cell Complexes (incl. Diff.Topology) Mathematik Glatte Infinitesimalanalysis (DE-588)4253448-3 gnd |
| subject_GND | (DE-588)4253448-3 |
| title | Models for Smooth Infinitesimal Analysis |
| title_auth | Models for Smooth Infinitesimal Analysis |
| title_exact_search | Models for Smooth Infinitesimal Analysis |
| title_full | Models for Smooth Infinitesimal Analysis by Ieke Moerdijk, Gonzalo E. Reyes |
| title_fullStr | Models for Smooth Infinitesimal Analysis by Ieke Moerdijk, Gonzalo E. Reyes |
| title_full_unstemmed | Models for Smooth Infinitesimal Analysis by Ieke Moerdijk, Gonzalo E. Reyes |
| title_short | Models for Smooth Infinitesimal Analysis |
| title_sort | models for smooth infinitesimal analysis |
| topic | Mathematics Global analysis (Mathematics) Cell aggregation / Mathematics Analysis Manifolds and Cell Complexes (incl. Diff.Topology) Mathematik Glatte Infinitesimalanalysis (DE-588)4253448-3 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Cell aggregation / Mathematics Analysis Manifolds and Cell Complexes (incl. Diff.Topology) Mathematik Glatte Infinitesimalanalysis |
| url | https://doi.org/10.1007/978-1-4757-4143-8 |
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