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On minimal strongly KC-spaces

Weihua SunYuming XuNing Li — 2009

Czechoslovak Mathematical Journal

In this article we introduce the notion of strongly KC -spaces, that is, those spaces in which countably compact subsets are closed. We find they have good properties. We prove that a space ( X , τ ) is maximal countably compact if and only if it is minimal strongly KC , and apply this result to study some properties of minimal strongly KC -spaces, some of which are not possessed by minimal KC -spaces. We also give a positive answer to a question proposed by O. T. Alas and R. G. Wilson, who asked whether every...

A characterization of (γₜ,γ₂)-trees

You LuXinmin HouJun-Ming XuNing Li — 2010

Discussiones Mathematicae Graph Theory

Let γₜ(G) and γ₂(G) be the total domination number and the 2-domination number of a graph G, respectively. It has been shown that: γₜ(T) ≤ γ₂(T) for any tree T. In this paper, we provide a constructive characterization of those trees with equal total domination number and 2-domination number.

Packing constant for Cesàro-Orlicz sequence spaces

Zhen-Hua MaLi-Ning JiangQiao-Ling Xin — 2016

Czechoslovak Mathematical Journal

The packing constant is an important and interesting geometric parameter of Banach spaces. Inspired by the packing constant for Orlicz sequence spaces, the main purpose of this paper is calculating the Kottman constant and the packing constant of the Cesàro-Orlicz sequence spaces ( ces φ ) defined by an Orlicz function φ equipped with the Luxemburg norm. In order to compute the constants, the paper gives two formulas. On the base of these formulas one can easily obtain the packing constant for the Cesàro...

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