Cantor Laminations and Exceptional Minimal Sets in Codimension One Foliations

Autor:	Gilbert Hector
Rok vydání:	2014
Předmět:	Pure mathematics Mathematics::Dynamical Systems Closed set Generic property Structure (category theory) Codimension Mathematics::Geometric Topology law.invention law Simply connected space Mathematics::Differential Geometry Mathematics::Symplectic Geometry Manifold (fluid mechanics) Mathematics
Zdroj:	Springer Proceedings in Mathematics & Statistics ISBN: 9783319046747
DOI:	10.1007/978-3-319-04675-4_3
Popis:	In this paper we deal with two types of questions concerning the structure of foliations (or laminations) on compact spaces: 1. Describe generic properties of foliations and laminations and refine the known ones, 2. Discuss the embeddability of n-dimensional minimal Cantor laminations as minimal sets in codimension one foliations on compact (n + 1)-manifolds or as closed sets in \({\mathbb{R}}^{n+1}\) (or any simply connected (n + 1)-manifold).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1a5110e6c1090c7417190c991c023412 https://doi.org/10.1007/978-3-319-04675-4_3 Zobrazit plný text záznamu