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Summary The following two theorems are obtained. (1) A mapping fis A-continuous if and only if it is semi-continuous and C-continuous. (2) A mapping f is A-continuous if and only if it is spr-continuous and LC-continuous.  相似文献
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文[1]中定义了性质$(UL)_m^{wl}$, $(UL)_m^K$ 及$(UL)_m$且证明了具有这些性质的空间分别等价于可数仿紧,可数中紧及可数亚紧空间.本文中,我们继续研究由实值函数定义的性质与某些覆盖性质之间的关系,得到可数紧空间及伪紧空间的若干函数刻画.  相似文献
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We use the notions of weak base g-functions and pair networks to give some new characterizations of semi-metric spaces.  相似文献
4.
In the paper [Monotone countable paracompactness and maps to ordered topological vector spaces, Top. Appl., 2014, 169(3): 51–70], Yamazaki initiated the study on maps with values into ordered topological vector spaces. Characterizations of monotonically countably paracompact spaces and some other spaces in terms of maps to ordered topological vector spaces were obtained. In this paper, following Yamazaki's method, we present some characterizations of stratifiable spaces and k-semi-stratifiable spaces in terms of maps with values into ordered topological vector spaces.  相似文献
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