*Definition [#g456509a]
A topological space X is σ-metacompact if every open cover of X has an open refinement which is the union of countably many point-finite families.

*Remark [#a35d3e55]
-It is also called [[metaLindelöf]] ([Yakovlev]).

*Reference [#t88502df]
-Reznichenko, E. A.(RS-MOSCM-GT) and Uspenskij, V. V.(RS-MOSCM-GT), ''Pseudocompact Malʹtsev spaces. (English summary) '',Special issue on topological groups. ,Topology Appl. 86 (1998), no. 1, 83-104.
-N. N. Yakovlev, ''On bicompacta in Σ-products and related spaces'', Comment. Math. Univ. Carolinae, Vol. 21 (1980), No. 2, pp.263-283.