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Metric for metrizable GO-spaces

The mathematical community is notorious for knowing that a solution to a problem exists without actually knowing how to obtain a solution. The metrizability of GO-spaces is a case in point. Let X be a GO-space constructed on a LOTS (Y,\(\tau)\), let \(I=\{x\in X:\{x\}\in \tau \}\), \(R=\{x\in X:[x,\to)\in \tau \}\), \(L=\{x\in X:(\leftarrow,x]\in \tau \
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The metrization of probabilistic metric spaces with applications

The author proves some fixed point theorems in Menger spaces. The results are given in terms of a metric due to \textit{T. L. Hicks} [ibid. 13, 63-72 (1983; Zbl 0574.54044)] which metrizes the (\(\epsilon\),\(\lambda)\)- topology for a Menger space.
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Closed images of metric spaces and metrization

A space is called a Lashnev space if it is the image of a metric space under a closed continuous mapping. This paper contains two results on Lashnev spaces. By making use of a characterization of Lashnev spaces due to \textit{L. Foged} [Proc. Am. Math. Soc.
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