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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
MathSciNet review: 908671
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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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Keywords: Injective space, ultrametric (space), spherical completeness, tight extension
Article copyright: © Copyright 1987 American Mathematical Society

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