FINITE EXTENSIONS OF MINIMAL TRANSFORMATION GROUPS ( i )

نویسنده

  • ROBERT J. SACKER
چکیده

In this paper we shall study homomorphisms p: W — Y on minimal transformation groups. We shall prove, in the case that W and Y are metrizable, that W is a finite (iV-to-1) extension of Y if and only if W is an Nfold covering space of Y and pisa covering map. This result places no further restrictions on the acting group. We shall then use this characterization to investigate the question of lifting an equicontinuous structure from Y to W. We show that, under very weak restrictions on the acting group, this lifting is always possible when If is a finite extension of Y.

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تاریخ انتشار 2010