*Definition [#k1678d9a]
A topological space is called starparacompact if every cover has a [[star-finite]] open refinement.
*Remark [#n630e66f]
-Sometimes it is called [[hypocompact]].
-Sometimes it is called [[strongly paracompact]].

*Reference [#b12c697e]
Lynn Arthur Steen and J. Arthur Seebach, Jr. ''Counterexamples in Topology'', Dover.