Rectangular conditions in products and equivariant completionsстатья
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Дата последнего поиска статьи во внешних источниках: 12 ноября 2013 г.
Аннотация:The general condition that characterizes the possibility of action's extension over a completion of a phase space is formulated and an example of a G-space that has no Dieudonne complete G-extensions is given. Sufficient conditions (different kinds of rectangular conditions in products) for the action's extensions over the Stone-Cech compactification, the Hewitt realcompactification and the Dieudonne completion of a space are presented. Boundedness, uniform equicontinuity and quasiboundedness of actions are characterized as action's uniform continuity on the (piecewise) semi-uniform product. From this point of view the origin of different examples of action's extensions are explained.