Strongly paracompact metrizable spaces
Volume 144 / 2016
Colloquium Mathematicum 144 (2016), 203-214
MSC: 54C60, 54C65, 54D20, 54E40, 54F65.
DOI: 10.4064/cm6630-1-2016
Published online: 10 March 2016
Abstract
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.
