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http://hdl.handle.net/123456789/4666
Title: | On recurrence in G-spaces |
Authors: | Protasov, I. Protasova, K. |
Keywords: | G-space recurrent subset ultrafilters Stone-Cˇech compactification |
Issue Date: | 2017 |
Series/Report no.: | математичні науки; |
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. |
Description: | Protasov I. On recurrence in G-spaces / I. Protasov, K. Protasova // Algebra and Discrete Mathematics. - 2017. - Vol. 23. - Number 2. - Рp. 279 - 284 |
URI: | http://hdl.handle.net/123456789/4666 |
Appears in Collections: | Algebra and Discrete Mathematics. - № 2 (23). - 2017 |
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