Homogeneity in powers of zero-dimensional first-countable spaces

Dow, Alan; Pearl, Elliott

doi:10.1090/S0002-9939-97-03998-1

Homogeneity in powers of zero-dimensional first-countable spaces
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by Alan Dow and Elliott Pearl PDF

Proc. Amer. Math. Soc. 125 (1997), 2503-2510 Request permission

Abstract:

A construction of L. Brian Lawrence is extended to show that the $\omega$-power of every subset of the Cantor set is homogeneous via a continuous translation modulo a dense set. It follows that every zero-dimensional first-countable space has a homogeneous $\omega$-power.

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