Ultrametrically injective spaces

Bayod, José M.; Martínez-Maurica, J.

doi:10.1090/S0002-9939-1987-0908671-1

Ultrametrically injective spaces
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by José M. Bayod and J. Martínez-Maurica

Proc. Amer. Math. Soc. 101 (1987), 571-576

DOI: https://doi.org/10.1090/S0002-9939-1987-0908671-1

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Abstract:

We study the injective objects in the category of ultrametric spaces with contractive mappings. As a result, the property of spherical completeness is characterized in several new ways related to extensions of uniformly continuous mappings and to extensions of isometries. A construction of the injective envelope is also given.

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