*Definition [#s5f0acaf]
A subset A of a topological space X is called α-nearly paracompact if every X-regular-open cover of A has an X-open X-[[locally finite]] refinement which covers A. X-regular open means subsets [[regular open]] in the topology in X.
*Remark [#rf654d02]
-See [[α-paracompact]], [[nearly paracompact]].
*Reference [#zcf9b9bc]
-Cao Ji-Ling, ''Weakly closed multifunctions and paracompactness'', Internat. J. Math and Math. Sci. Vol.16, No.2, pp.345-350 (1993)