Korean J. Math. Vol. 20 No. 4 (2012) pp.415-422
DOI: https://doi.org/10.11568/kjm.2012.20.4.415

WEAK PROPERTY $(\beta_k)$

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Published: Dec 30, 2012

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Kyungeun Cho
Chongsung Lee

Abstract

In this paper, we define the weak property $(\beta_k)$ and get
the following strict implications.
$(UC) \Rightarrow w − (\beta_1 ) \Rightarrow w − (\beta_2 ) \Rightarrow \cdots \Rightarrow w − (\beta_\infty ) \Rightarrow (BS).$



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