dc.contributor.author | Hernández, Salvador | |
dc.contributor.author | Protasov, I. | |
dc.date.accessioned | 2012-06-18T10:55:32Z | |
dc.date.available | 2012-06-18T10:55:32Z | |
dc.date.issued | 2011 | |
dc.identifier.citation | Ukrainian Mathematical Journal (2011) vol. 8, no. 1, p.86-99 | ca_CA |
dc.identifier.issn | 0041-5995 | |
dc.identifier.issn | 1573-9376 | |
dc.identifier.uri | http://hdl.handle.net/10234/41761 | |
dc.description.abstract | A subset S of a topological group G is called bounded
if, for every neighborhood U of the identity of G, there exists a finite
subset F such that S ⊆ FU, S ⊆ UF. The family of all
bounded subsets of G determines two structures on G, namely the
left and right balleans Bl(G) and Br(G) , which are counterparts
of the left and right uniformities of G. We study the relationships
between the uniform and ballean structures on G, describe
all topological groups admitting a metric compatible both with
uniform and ballean structures, and construct a group analogue of
Higson’s compactification of a proper metric space. | ca_CA |
dc.format.extent | 12 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Springer Verlag | ca_CA |
dc.relation.isFormatOf | The original publication is available at www.springerlink.com | ca_CA |
dc.rights | © Springer Verlag | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | Bounded subset | ca_CA |
dc.subject | Uniformity | ca_CA |
dc.subject | Ballean | ca_CA |
dc.subject | Slowly oscillating functions | ca_CA |
dc.title | Balleans of topological groups | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.type.version | info:eu-repo/semantics/sumittedVersion | |