Analytic and Luzin spaces (non-separable case)

  • Frolík Z
  • Holický P
  • 1

    Readers

    Mendeley users who have this article in their library.
  • 8

    Citations

    Citations of this article.

Abstract

We introduce the concept of κ-analytic and κ-Luzin spaces as images of complete metric spaces by (disjoint) upper semi-continuous compact-valued correspondences which "preserve discreteness" in some sence (Definition in Section 3.1). The case κ = ω coincides with (Lindelöf) analytic spaces studied by Choquet, the first author and others. The main results are characterizations of uniform analytic spaces in terms of other parametrizations, complete sequences of covers, and Suslin subsets of some product of a compact and a complete metric space (Theorems in Section 3.2 and in Section 4), and characterizations of topological analytic spaces as Suslin subsets of paracompact Čech-complete spaces (Theorem in Section 5). © 1985.

Author-supplied keywords

  • Baire space
  • Suslin set
  • complete sequence of covers
  • paracompactness
  • upper semi-continuous compact-valued correspondence
  • κ-analytic (κ-Luzin) space
  • σ-odd-preserving correspondence

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • Z. Frolík

  • P. Holický

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free