摘要：Some results are obtained on finite unions of -spaces. It is proved
that if a space is the union of finitely many locally compact -subspaces, then it
is a -space. It follows that a space is a -space if it is the union of finitely many
locally compact submetacompact subspaces. And a space is a -space if it is the
union of a -subspace with a locally compact -subspace. This partially answers
one problem raised by Arhangel’skii. At last, some examples are given to exhibit
the applications of nearly good relation to discover -classes.
