Abstract

In this paper we shall show: (1) Let X be a zero-dimensional metric space and Y be a δθ-refinable P -space. Then X × Y is δθ-refinable. (2) Let X be an almost expandable strong Σ-space and Y be a strong δθ-refinable P -space. Then X × Y is δθ-refinable. (3) Let X be a metrizable space and Y be a w-δθ-refinable P -space. Then X × Y is w-δθ-refinable. Similar results of (3) for analogous properties also hold.

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