On recurrence in G-spaces

dc.contributor.author	Protasov, I.V.
dc.contributor.author	Protasova, K.D.
dc.date.accessioned	2019-06-17T18:57:22Z
dc.date.available	2019-06-17T18:57:22Z
dc.date.issued	2017
dc.identifier.citation	On recurrence in G-spaces / I.V. Protasov, K.D. Protasova // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 279-284. — Бібліогр.: 6 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC:37A05, 22A15, 03E05.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/156022
dc.description.abstract	We introduce and analyze the following general concept of recurrence. Let G be a group and let X be a G-space with the action G×X⟶X, (g,x)⟼gx. For a family F of subset of X and A∈F, we denote ΔF(A)={g∈G:gB⊆A for some B∈F, B⊆A}, and say that a subset R of G is F-recurrent if R⋂ΔF(A)≠∅ for each A∈F.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	On recurrence in G-spaces	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA