4 citations · 24 across the 23 of their papers we have counts for
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A factorization of metric spaces
Yoshito Ishiki
We first prove that for every metrizable space , for every closed subset whose complement is zero-dimensional, the space can be embedded into a product space of the clos…
Strongly rigid metrics in spaces of metrics
Yoshito Ishiki
A metric space is said to be strongly rigid if no positive distance is taken twice by the metric. In 1972, Janos proved that a separable metrizable space has a strongly rigid metri…
Simultaneous extensions of metrics and ultrametrics of high power
Yoshito Ishiki
In this paper, generalized metrics mean metrics taking values in general linearly ordered Abelian groups. Using the Hahn fields, we first prove that for every generalized metric sp…
Extending proper metrics
Yoshito Ishiki
We first prove a version of Tietze-Urysohn's theorem for proper functions taking values in non-negative real numbers defined on -compact locally compact Hausdorff spaces. As its…
On comeager sets of metrics whose ranges are disconnected
Yoshito Ishiki
For a metrizable space , we denote by the space of all metric that generate the same topology of . The space is equipped with the supremum…