Dušan Repovš (Author), Lyubomyr Zdomskyy (Author)

Abstract

We prove that in the Miller model, every ▫$M$▫-separable space of the form ▫$C_p(X)$▫, where ▫$X$▫ is metrizable and separable, is productively ▫$M$▫-separable, i.e., ▫$C_p(X) \times Y$▫ is ▫$M$▫-separable for every countable ▫$M$▫-separable ▫$Y$▫.

Keywords

M-separable;Miller forcing;Menger space;spaces of functions;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL PEF - Faculty of Education
UDC: 510.327:515.12
COBISS: 18946393 Link will open in a new window
ISSN: 0168-0072
Views: 447
Downloads: 289
Average score: 0 (0 votes)
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Other data

Type (COBISS): Article
Pages: art. 102806 (8 str.)
Volume: ǂVol. ǂ171
Issue: ǂiss. ǂ7
Chronology: July 2020
DOI: 10.1016/j.apal.2020.102806
ID: 11763999