Abstract
It is shown that a space $X$ is strongly paracompact if and only if for every complete metric space $(Y,\rho)$, every l.s.c. mapping from $X$ into the nonempty closed subsets of $Y$ has a separable-valued Hausdorff continuous section. Several applications are demonstrated as well.
Citation
Valentin GUTEV. "Hausdorff continuous sections." J. Math. Soc. Japan 66 (2) 523 - 534, April, 2014. https://doi.org/10.2969/jmsj/06620523
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