Kernel of a map of a shift along the orbits of continuous flows

• Published in: Український математичний журнал
• Date: 2010
• Main Author: Maksymenko, S.I.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166151
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Kernel of a map of a shift along the orbits of continuous flows / S.I. Maksymenko // Український математичний журнал. — 2010. — Т. 62, № 5. — С. 651–659. — Бібліогр.: 11 назв. — англ.

Let F:M × R → M be a continuous flow on a topological manifold M. For every subset V⊂M, we denote by P(V) the set of all continuous functions ξ:V→R such that F(x,ξ(x))=x for all x∈V. These functions vanish at nonperiodic points of the flow, while their values at periodic points are integer multiples...