|
|||||
|
|
Almost periodic compactifications of group extensions |
|
| Authors: | H D Junghenn P Milnes |
| Institution: | (1) George Washington University, Washington, D.C., 20052, USA;(2) University of Western Ontario, London, Ontario, N6A 5B7, Canada |
| Abstract: | Let
and
be groups and let
be an extension of
by
. Given a property
of group compactifications, one can ask whether there exist compactifications
and
of N and K such that the universal
-compactification of G is canonically isomorphic to an extension of
by
. We prove a theorem which gives necessary and sufficient conditions for this to occur for general properties
and then apply this result to the almost periodic and weakly almost periodic compactifications of G. |
| Keywords: | group extension semidirect product topological group semitopological semigroup right topological semigroup compactification almost periodic weakly almost periodic strongly almost periodic |
| 本文献已被 SpringerLink 等数据库收录！ | |