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Acta Mathematica Hungarica
Authors:
Y. Gao
,
H. Qu
, and
S. Wang
Abstract
We show that a monotonically normal space X is paracompact if and only if for every increasing open cover {U α : α < κ} of X, there is a closed cover {F nα : n < ω, α < κ} of X such that F nα ⊂ U α for n < ω, α < κ and F nα ⊂ F nβ if α ≦ β.
