English

Probability measures and Milyutin maps between metric spaces

General Topology 2008-07-24 v2 Functional Analysis

Abstract

We prove that the functor \HatP\Hat{P} of Radon probability measures transforms any open map between completely metrizable spaces into a soft map. This result is applied to establish some properties of Milyutin maps between completely metrizable spaces.

Keywords

Cite

@article{arxiv.0801.1721,
  title  = {Probability measures and Milyutin maps between metric spaces},
  author = {V. Valov},
  journal= {arXiv preprint arXiv:0801.1721},
  year   = {2008}
}

Comments

14 pages

R2 v1 2026-06-21T10:01:53.242Z