Strongly paracompact metrizable spaces are characterized in terms of special S-maps onto metrizable non-Archimedean spaces. A similar characterization of strongly metrizable spaces is obtained as well. The approach is based on a sieve-construction of "metric"-continuous pseudo-sections of lower semicontinuous mappings.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm6630-1-2016,
author = {Valentin Gutev},
title = {Strongly paracompact metrizable spaces},
journal = {Colloquium Mathematicae},
volume = {144},
year = {2016},
pages = {203-214},
zbl = {06575000},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm6630-1-2016}
}
Valentin Gutev. Strongly paracompact metrizable spaces. Colloquium Mathematicae, Tome 144 (2016) pp. 203-214. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm6630-1-2016/