Recurrent points and discrete points for elementary amenable groups

Mostafa Nassar

International Journal of Mathematics and Mathematical Sciences, 1992, vol. 15, 1-8

Abstract:

Let β G be the Stone-Cech compactification of a group G , A G the set of all almost periodic points in β G , K G = c ℓ [ ⋃ { supp μ φ : φ ∈ LIM ( G ) } ] and R G the set of all recurrent points in β G . In this paper we will study the relationships between K G and R G , and between A G and R G . We will show that for any infinite elementary amenable group G , A G ⫋ R G and R G − K G ≠ ϕ .

Date: 1992
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/15/901294.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/15/901294.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:901294

DOI: 10.1155/S0161171292000954

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().