The decomposable and the ambiguous sets


  • О. Karlova Yuriy Fedkovych Chernivtsi National University, 2 Kotsjubynskyi str., 58012, Chernivtsi, Ukraine


decomposable set, ambiguous set
Published online: 2011-12-29


We prove that every ambiguous subset of a hereditarily Baire space is decomposable. We obtain that a decomposable set $A\subseteq X$ is ambiguous when (i) $X$ is a perfectly paracompact space, or (ii) $A$ and $X\setminus A$ are Lindelöf and $X$ is a completely regular space.

How to Cite
Karlova О. The Decomposable and the Ambiguous Sets. Carpathian Math. Publ. 2011, 3, 71–76.