Abstract
In this paper, the authors answer three questions raised by the second author in [14]: (1) It is independent of and consistent with ZFC that the product of two Moore spaces, each having the countable chain condition, also has the countable chain condition. (2) There exist in ZFC two Moore spaces, each having the discrete countable chain condition, such that their product does not have the discrete countable chain condition. (3) There exists a pseudo-compact Moore space which contains a copy of every metric space of cardinality ⩽ c.
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