The sup = max problem for the extent  of generalized metric spaces

Yasushi Hirata; Yukinobu Yajima

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Displaying similar documents to “The sup = max problem for the extent of generalized metric spaces”

Two set-theoretic problems in topology

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Property $(a)$ and dominating families

Samuel Gomes da Silva (2005)

Commentationes Mathematicae Universitatis Carolinae

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Generalizations of earlier negative results on Property $(a)$ are proved and two questions on an $(a)$ -version of Jones’ Lemma are posed. We discuss these questions in the realm of locally compact spaces. Using dominating families of functions as a tool, we prove that under the assumptions “ $2^{ω}$ is regular” and “ $2^{ω} < 2^{ω_{1}}$ ” the existence of a $T_{1}$ separable locally compact $(a)$ -space with an uncountable closed discrete subset implies the existence of inner models with measurable cardinals. We also use cardinal...

Extensions of metrization theorems to higher cardinality

Richard Hodel (1975)

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Displaying similar documents to “The sup = max problem for the extent of generalized metric spaces”

Two set-theoretic problems in topology

Property ( a ) and dominating families

Extensions of metrization theorems to higher cardinality

Property $(a)$ and dominating families