Fsigma-additive covers of Čech complete and scattered-K-analytic spaces

Abstract

We prove that an $F_\sigma$--additive cover of a \v Cech complete, or more generally scattered--$K$--analytic space, has a $\sigma$--scattered refinement. This generalizes results of G.

Koumoullis and R.W. Hansell.

Keywords

• Fsigma-additive
• covers
• complete
• scattered-K-analytic
• spaces