Strongly paracompact metrizable spaces
Colloquium Mathematicae (2016)
- Volume: 144, Issue: 2, page 203-214
- ISSN: 0010-1354
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topValentin Gutev. "Strongly paracompact metrizable spaces." Colloquium Mathematicae 144.2 (2016): 203-214. <http://eudml.org/doc/283739>.
@article{ValentinGutev2016,
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.},
author = {Valentin Gutev},
journal = {Colloquium Mathematicae},
keywords = {strongly paracompact space; strongly metrizable space; set-valued mapping; set-valued selection; semicontinuity; subcontinuity},
language = {eng},
number = {2},
pages = {203-214},
title = {Strongly paracompact metrizable spaces},
url = {http://eudml.org/doc/283739},
volume = {144},
year = {2016},
}
TY - JOUR
AU - Valentin Gutev
TI - Strongly paracompact metrizable spaces
JO - Colloquium Mathematicae
PY - 2016
VL - 144
IS - 2
SP - 203
EP - 214
AB - 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.
LA - eng
KW - strongly paracompact space; strongly metrizable space; set-valued mapping; set-valued selection; semicontinuity; subcontinuity
UR - http://eudml.org/doc/283739
ER -
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