Definition
A topological space X is called pointwise star-orthocompact if for every open cover
of
X, there exists an open Q-collection
such that
.
Here, a collection U of open subsets is called Q-collection if for every subcollection V of U,
is open.
Reference
- Gary Gruenhage, On closed images of orthocompact spaces, Proc. Amer. Math. Soc. Vol.77, No.3, pp.389-394 (1979)