Probability on Submetric Spaces

Abstract

A submetric space is a topological space with continuous metrics, generating a metric topology weaker than the original one (e.g. a separable Hilbert space with the weak topology).

Keywords

• submetric space
• sequential topologies
• convergence of probability measures
• convergence in probability
• skorokhod almost sure representation
• stochastic compactness method
• 60b05
• 60b10
• 60f99
• 60h15