*Definition [#be9f5349]
A topological space X is called base-cover paracompact if it has an open base B such that every cover C in B contains a [[locally finite]] subcover.
*Reference [#g602d9ae]
S. G. Popvassilev, ''Base-cover paracompactness'', Proc. Amer. Math. Soc. Vol.132, No.10, pp.3121-3130.