![Models for Smooth Infinitesimal Analysis [electronic resource] /](/search/themes/bootstrap3/images/libros.png)
Models for Smooth Infinitesimal Analysis [electronic resource] /
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.
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Texto biblioteca |
| Language: | eng |
| Published: |
New York, NY : Springer New York : Imprint: Springer,
1991
|
| Subjects: | Mathematics., Mathematical analysis., Analysis (Mathematics)., Manifolds (Mathematics)., Complex manifolds., Analysis., Manifolds and Cell Complexes (incl. Diff.Topology)., |
| Online Access: | http://dx.doi.org/10.1007/978-1-4757-4143-8 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| id |
KOHA-OAI-TEST:179443 |
|---|---|
| record_format |
koha |
| spelling |
KOHA-OAI-TEST:1794432018-07-30T22:58:53ZModels for Smooth Infinitesimal Analysis [electronic resource] / Moerdijk, Ieke. author. Reyes, Gonzalo E. author. SpringerLink (Online service) textNew York, NY : Springer New York : Imprint: Springer,1991.engThe 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.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.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.Mathematical analysis.Analysis (Mathematics).Manifolds (Mathematics).Complex manifolds.Mathematics.Analysis.Manifolds and Cell Complexes (incl. Diff.Topology).Springer eBookshttp://dx.doi.org/10.1007/978-1-4757-4143-8URN:ISBN:9781475741438 |
| institution |
COLPOS |
| collection |
Koha |
| country |
México |
| countrycode |
MX |
| component |
Bibliográfico |
| access |
En linea En linea |
| databasecode |
cat-colpos |
| tag |
biblioteca |
| region |
America del Norte |
| libraryname |
Departamento de documentación y biblioteca de COLPOS |
| language |
eng |
| topic |
Mathematics. Mathematical analysis. Analysis (Mathematics). Manifolds (Mathematics). Complex manifolds. Mathematics. Analysis. Manifolds and Cell Complexes (incl. Diff.Topology). Mathematics. Mathematical analysis. Analysis (Mathematics). Manifolds (Mathematics). Complex manifolds. Mathematics. Analysis. Manifolds and Cell Complexes (incl. Diff.Topology). |
| spellingShingle |
Mathematics. Mathematical analysis. Analysis (Mathematics). Manifolds (Mathematics). Complex manifolds. Mathematics. Analysis. Manifolds and Cell Complexes (incl. Diff.Topology). Mathematics. Mathematical analysis. Analysis (Mathematics). Manifolds (Mathematics). Complex manifolds. Mathematics. Analysis. Manifolds and Cell Complexes (incl. Diff.Topology). Moerdijk, Ieke. author. Reyes, Gonzalo E. author. SpringerLink (Online service) Models for Smooth Infinitesimal Analysis [electronic resource] / |
| 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. |
| format |
Texto |
| topic_facet |
Mathematics. Mathematical analysis. Analysis (Mathematics). Manifolds (Mathematics). Complex manifolds. Mathematics. Analysis. Manifolds and Cell Complexes (incl. Diff.Topology). |
| author |
Moerdijk, Ieke. author. Reyes, Gonzalo E. author. SpringerLink (Online service) |
| author_facet |
Moerdijk, Ieke. author. Reyes, Gonzalo E. author. SpringerLink (Online service) |
| author_sort |
Moerdijk, Ieke. author. |
| title |
Models for Smooth Infinitesimal Analysis [electronic resource] / |
| title_short |
Models for Smooth Infinitesimal Analysis [electronic resource] / |
| title_full |
Models for Smooth Infinitesimal Analysis [electronic resource] / |
| title_fullStr |
Models for Smooth Infinitesimal Analysis [electronic resource] / |
| title_full_unstemmed |
Models for Smooth Infinitesimal Analysis [electronic resource] / |
| title_sort |
models for smooth infinitesimal analysis [electronic resource] / |
| publisher |
New York, NY : Springer New York : Imprint: Springer, |
| publishDate |
1991 |
| url |
http://dx.doi.org/10.1007/978-1-4757-4143-8 |
| work_keys_str_mv |
AT moerdijkiekeauthor modelsforsmoothinfinitesimalanalysiselectronicresource AT reyesgonzaloeauthor modelsforsmoothinfinitesimalanalysiselectronicresource AT springerlinkonlineservice modelsforsmoothinfinitesimalanalysiselectronicresource |
| _version_ |
1756264549394153472 |