*Definition [#tf841f42]
m and n denote cardinalities.
A space X is said to be almost (m, n)-paracompact if for each open covering U of X with cardinality no more than m, there exists a [[locally-n]] family V of open subsets of X which refines U and the union of V is dense in X.
*Reference [#g3c56e5d]
M. K. Singal, ''Some Generalizations of Paracompactness'', Proceedings of the Kanpur topological conference, 1968. Academia Publishing House of the Czechoslovak Academy of Sciences, Praha, 1971. pp. 245-263.