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- W4283449462 abstract "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 space, if the set of the Archimedean equivalence classes of the range group of the metric has an infinite decreasing sequence, then every non-empty closed subset of the space is a uniform retract of the ambient space. Next we construct simultaneous extensions of generalized metrics and ultrametrics. From the existence of extensors of generalized metrics, we characterize the final compactness of generalized metrizable spaces using the completeness of generalized metrics." @default.
- W4283449462 created "2022-06-26" @default.
- W4283449462 creator A5072870097 @default.
- W4283449462 date "2022-06-21" @default.
- W4283449462 modified "2023-09-29" @default.
- W4283449462 title "Simultaneous extensions of metrics and ultrametrics of high power" @default.
- W4283449462 doi "https://doi.org/10.48550/arxiv.2206.10778" @default.
- W4283449462 hasPublicationYear "2022" @default.
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