On recurrence in G-spaces

dc.contributor.author	Protasov, I.
dc.contributor.author	Protasova, K.
dc.date.accessioned	2020-01-15T09:32:15Z
dc.date.available	2020-01-15T09:32:15Z
dc.date.issued	2017
dc.identifier.uri	http://hdl.handle.net/123456789/4666
dc.description	Protasov I. On recurrence in G-spaces / I. Protasov, K. Protasova // Algebra and Discrete Mathematics. - 2017. - Vol. 23. - Number 2. - Рp. 279 - 284	uk_UA
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) 7−→ gx. For a family F of subset of X and A ∈ F, we denote ∆F(A) = {g ∈ G : gB ⊆ A for some B ∈ F, B ⊆ A}, and say that a subset R of G is F-recurrent if R T ∆F(A) 6= ∅ for each A ∈ F.	uk_UA
dc.language.iso	en	uk_UA
dc.relation.ispartofseries	математичні науки;
dc.subject	G-space	uk_UA
dc.subject	recurrent subset	uk_UA
dc.subject	ultrafilters	uk_UA
dc.subject	Stone-Cˇech compactification	uk_UA
dc.title	On recurrence in G-spaces	uk_UA
dc.type	Article	uk_UA