Lifting the functors $ U_\tau$ and $ U_R$ to the categories of bounded metric spaces and uniform spaces

DOI10.1070/SM2000v191n11ABEH000522zbMath1029.54037MaRDI QIDQ2736060

Yu. V. Sadovnichii

Publication date: 3 February 2004

Published in: Sbornik: Mathematics (Search for Journal in Brave)

zbMATH Keywords

Radon measurespace of measures\(\tau\)-additive measurefunctor of measureslifting of functorsmetric on measuresthe category of bounded metric spacesthe category of uniform spaces

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Categorical methods in general topology (54B30) Spaces of measures, convergence of measures (28A33) Uniform structures and generalizations (54E15)

Related Items (3)

THE FUNCTOR OF IDEMPOTENT PROBABILITY MEASURES AND MAPS WITH UNIFORMITY PROPERTIES OF UNIFORM SPACES ⋮ Metrization of the space of weakly additive positively-homogeneous functionals ⋮ Тройка бесконечных итераций функтора положительно-однородных функционалов

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