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On subspaces of pseudo-radial spaces

Jin Yuan Zhou (1993)

Commentationes Mathematicae Universitatis Carolinae


It is proved that, under the Martin’s Axiom, every T 1 -space with countable tightness is a subspace of some pseudo-radial space. We also give several characterizations of subspaces of pseudo-radial spaces and conclude that being a subspace of a pseudo-radial space is a local property.