Authors: Y. Gao 1 , H. Qu 2 , and S. Wang 3
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  • 1 Nanjing University Department of Mathematics Nanjing 210093 China
  • | 2 Xi’an Institute of Posts & Telecommunications Department of Mathematics Xi’an 710061 China
  • | 3 Northwest University Department of Mathematics Xi’an 710069 China
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Abstract  

We show that a monotonically normal space X is paracompact if and only if for every increasing open cover {Uα: α < κ} of X, there is a closed cover {F: n < ω, α < κ} of X such that FUα for n < ω, α < κ and FF if αβ.

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