Preservation of ▫$\gamma$▫-spaces and covering properties of products

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

We prove that the Hurewicz property is not preserved by finite products in the Miller model. This is a consequence of the fact that Miller forcing preserves ground model ▫$\gamma$▫-spaces.

• Language: English
• Keywords: Hurewicz space, ▫$\gamma$▫-space, Miller forcing, proper forcing
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2019
• Number of pages: Str. 4979-4985
• Numbering: Vol. 147, no. 11
• PID: 20.500.12556/RUL-112058
• UDC: 515.122:510.3
• ISSN on article: 0002-9939
• DOI: 10.1090/proc/14593
• COBISS.SI-ID: 18694745
• Publication date in RUL: 22.10.2019

Record is a part of a journal

• Title: Proceedings of the American Mathematical Society
• Shortened title: Proc. Am. Math. Soc.
• Publisher: American Mathematical Society
• ISSN: 0002-9939
• COBISS.SI-ID: 2335236