Recognizing the topologies of spaces of metrics with the topology of uniform convergence

DOI10.4064/ba220523-18-4zbMath1523.54018OpenAlexW4382862689MaRDI QIDQ6170243

Katsuhisa Koshino

Publication date: 12 July 2023

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ba220523-18-4

zbMATH Keywords

Hilbert spaceconvex setFréchet spacepseudometrictopology of uniform convergenceadmissible metricsup-metric

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Metric spaces, metrizability (54E35) Special maps on metric spaces (54E40) Compact (locally compact) metric spaces (54E45) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Topology of infinite-dimensional manifolds (57N20)