Compact spaces that result from adequate families of sets

  • Plebanek G
  • 2

    Readers

    Mendeley users who have this article in their library.
  • 4

    Citations

    Citations of this article.

Abstract

We consider compact spaces defined by adequate families of sets as well as continuous images of such spaces which are called AD-compact. The class of AD-compact spaces contains all polyadic spaces. We note some general properties of AD-compact spaces. We prove that there are nonpolyadic AD-compact spaces having a strictly positive measure. We also show that some results on Banach spaces C(K) valid for a dyadic K may be extended to K being AD-compact. © 1995.

Author-supplied keywords

  • Adequate family
  • Dyadic space
  • Mazur property
  • Polyadic space
  • Realcompact space
  • Strictly positive measure

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

  • Grzegorz Plebanek

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free