▫$M$▫-separable spaces of functions are productive in the Miller model

Repovš, Dušan (author), Zdomskyy, Lyubomyr (author)

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 ▫$Y$▫.

• Language: English
• Keywords: M-separable, Miller forcing, Menger space, spaces of functions
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2020
• Number of pages: art. 102806 (8 str.)
• Numbering: Vol. 171, iss. 7
• PID: 20.500.12556/RUL-116510
• UDC: 510.327:515.12
• ISSN on article: 0168-0072
• DOI: 10.1016/j.apal.2020.102806
• COBISS.SI-ID: 18946393
• Publication date in RUL: 26.05.2020

Record is a part of a journal

• Title: Annals of pure and applied Logic
• Shortened title: Ann. pure appl. Logic
• Publisher: North-Holland
• ISSN: 0168-0072
• COBISS.SI-ID: 24966656