4.1 Article

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

Journal

ANNALS OF PURE AND APPLIED LOGIC
Volume 171, Issue 7, Pages -

Publisher

ELSEVIER
DOI: 10.1016/j.apal.2020.102806

Keywords

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

Funding

  1. Slovenian Research Agency [P1-0292, N1-0083]
  2. Austrian Science Fund FWF [I 2374-N35, I 3709-N35]

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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) x Y is M-separable for every countable M-separable Y. (C) 2020 Elsevier B.V. All rights reserved.

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