Diffeology
"Diffeology is an extension of differential geometry. With a minimal set of axioms, diffeology allows us to deal simply but rigorously with objects which do not fall within the usual field of differential geometry: quotients of manifolds (even non-Hausdorff), spaces of functions, groups of diffeomorphisms, etc. The category of diffeology objects is stable under standard set-theoretic operations, such as quotients, products, coproducts, subsets, limits, and colimits. With its right balance betwe…
Read More ↓Title Statements
- Full title :Diffeology / Patrick Iglesias-Zemmour.
Summary
"Diffeology is an extension of differential geometry. With a minimal set of axioms, diffeology allows us to deal simply but rigorously with objects which do not fall within the usual field of differential geometry: quotients of manifolds (even non-Hausdorff), spaces of functions, groups of diffeomorphisms, etc. The category of diffeology objects is stable under standard set-theoretic operations, such as quotients, products, coproducts, subsets, limits, and colimits. With its right balance between rigor and simplicity, diffeology can be a good framework for many problems that appear in various areas of physics. Actually, the book lays the foundations of the main fields of differential geometry used in theoretical physics: differentiability, Cartan differential calculus, homology and cohomology, diffeological groups, fiber bundles, and connections. The book ends with an open program on symplectic diffeology, a rich field of application of the theory. Many exercises with solutions make this book appropriate for learning the subject."--Résumé de l'éditeur.
Read More ↓Edition Statements
- Publication Date:cop. 2013.
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence (R.I.)
- Language:eng
- Publication Date:cop. 2013.
Notes
Informations complémentaires sur la publication à l'adresse.
Contient des exercices.
The Physical Object
- Description:1 vol. (XXIII-439 p.) : : fig. ; : 26 cm.
Edition Identifiers
- ISBN:9780821891315, 0821891316
- oclc:ocn868035807
- LC Classification:QA670
- Dewey Decimal:516.3/62
Table of Contents
Chapter 1. Diffeology and Diffeological Spaces -- Chapter 2. Locality and Diffeologies -- Chapter 3. Diffeological Vector Spaces -- Chapter 4. Modeling Spaces, Manifolds, etc. -- Chapter 5. Homotopy of Diffeological Spaces -- Chapter 6. Cartan-De Rham Calculus -- Chapter 7. Diffeological Groups -- Chapter 8. Diffeological Fiber Bundles Chapter 9. Symplectic Diffeology.
Read More ↓Subjects
Writers
More from this Series
No reviews yet. Be the first to rate this work.
Related Works
more →
Files & Downloads
-
Diffeology -- (.djvu)
DJVU · 7.7 MB · updated -
Diffeology -- (.pdf)
PDF · 3.3 MB · updated -
Diffeology -- (.pdf)
PDF · 4.6 MB · updated
Rate & Review