Homogeneity in Powers of Subspaces of the Real Line

نویسنده

  • L. BRIAN LAWRENCE
چکیده

Working in ZFC, we prove that for every zero-dimensional subspace S of the real line, the Tychonoff power ωS is homogeneous (ω denotes the nonnegative integers). It then follows as a corollary that ωS is homogeneous whenever S is a separable zero-dimensional metrizable space. The question of homogeneity in powers of this type was first raised by Ben Fitzpatrick, and was subsequently popularized by Gary Gruenhage and Hao-xuan Zhou.

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تاریخ انتشار 1998