Ultrametrically injective spaces
Authors:
José M. Bayod and J. Martínez-Maurica
Journal:
Proc. Amer. Math. Soc. 101 (1987), 571-576
MSC:
Primary 54E35; Secondary 54E40
DOI:
https://doi.org/10.1090/S0002-9939-1987-0908671-1
MathSciNet review:
908671
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Abstract | References | Similar Articles | Additional Information
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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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1987-0908671-1
Keywords:
Injective space,
ultrametric (space),
spherical completeness,
tight extension
Article copyright:
© Copyright 1987
American Mathematical Society