GeneralizedCn-Manifolds

Autor:	W. Gähler, M. Firmanty
Rok vydání:	1983
Předmět:	Algebra Generalization General Mathematics Differentiable manifold Mathematics::Differential Geometry Differentiable function Characterization (mathematics) Mathematics::Geometric Topology Mathematics::Symplectic Geometry Mathematics
Zdroj:	Mathematische Nachrichten. 113:267-302
ISSN:	1522-2616 0025-584X
DOI:	10.1002/mana.19831130126
Popis:	This paper proves an important topological characterization of C-manifolds and especially of arbitrary finite dimensional Cn-manifolds and arbitrary C∞-BANACH manifolds. Whereas differentiability structures in the usual sense may be proper classes this characterization always enables a definition of differentiability structures as sets. Further this characterization suggests a suitable generalization of the notion of differentiable manifold which we call Cn-manifold. Cn-manifolds have a lot of better properties than Cn-manifolds and may be useful therefore in physics and technics. Some examples of Cn-manifolds are given in the last two sections defined by means of certain geometric structures.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6c2af7f9e8ebca2b8b50a4c9466f8c21 https://doi.org/10.1002/mana.19831130126 Zobrazit plný text záznamu Plný text