Szczegóły publikacji
Opis bibliograficzny
$n$-transitivity of bisection groups of a Lie groupoid / Tomasz RYBICKI // Acta Mathematica Sinica. English Series ; ISSN 1439-8516. — 2017 — vol. 33 iss. 8, s. 1061–1072. — Bibliogr. s. 1072, Abstr. — Publikacja dostępna online od: 2017-03-30
Autor
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 111767 |
|---|---|
| Data dodania do BaDAP | 2018-01-19 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s10114-017-6125-3 |
| Rok publikacji | 2017 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Acta Mathematica Sinica, English Series |
Abstract
The notion of n-transitivity can be carried over from groups of diffeomorphisms on a manifold M to groups of bisections of a Lie groupoid over M. The main theorem states that the n-transitivity is fulfilled for all n is an element of N by an arbitrary group of C-r-bisections of a Lie groupoid Gamma of class C-r, where 1 <= r <= omega, under mild conditions. For instance, the group of all bisections of any Lie groupoid and the group of all Lagrangian bisections of any symplectic groupoid are n-transitive in the sense of this theorem. In particular, if Gamma is source connected for any arrow gamma is an element of Gamma, there is a bisection passing through gamma.