*Definition [#h7ed7405]
A topological space is called hypocompact if every cover has a [[star-finite]] open refinement.
*Remark [#v3fc8048]
-It is also called [[starparacompact]].
-It is also called [[strongly paracompact]].

*Reference [#e2cf6b5b]
-K. Morita, ''Star-finite coverings and the star-finite property'', Math. Japon. I (1948), 60―69.
-S. T. Hu, ''Cohomology and deformation retracts'', Proc. London Math. Soc. 55 (1949), 577-579.
-Lynn Arthur Steen and J. Arthur Seebach, Jr. ''Counterexamples in Topology'', Dover.