Strongly paracompact metrizable spaces

• Autorzy: Valentin Gutev
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54C60: Set-valued maps
• 54D20: Noncompact covering properties (paracompact, Lindel\"of, etc.)
• 54F65: Topological characterizations of particular spaces
• 54C65: Selections
• 54E40: Special maps on metric spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2016
• Tom: 144
• Numer: 2
• Strony: 203-214

Daty

wydano

2016

Twórcy

autor

Valentin Gutev

• Department of Mathematics, Faculty of Science, University of Malta, Msida MSD 2080, Malta

Identyfikatory

DOI

10.4064/cm6630-1-2016