The decomposable and the ambiguous sets
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 paracompactspace, or (ii) $A$ and $X \setminus A$ are Lindelöf and $X$ is a completely regular space.
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| Format: | Article |
| Language: | English |
| Published: |
Vasyl Stefanyk Precarpathian National University
2013-01-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Online Access: | http://journals.pu.if.ua/index.php/cmp/article/view/98 |