*Definition [#of2f4a2f] A topological space X is called mesocompact if every open cover has a [[compact-finite]] open refinement. *Reference [#p92db72d] Kuo-Shih Kao and Li-Sheng Wu, ''Mapping theorems on metacompact spaces'', Proc. Amer. Math. Soc. Vol.89(2) (1983).