Reviews

Remarks on almost Rothberger spaces and weakly Rothberger spaces

Published in: Quaestiones Mathematicae
Volume 38 , issue 3 , 2015 , pages: 317–325

DOI: 10.2989/16073606.2014.981710

Author(s): Yan-Kui Song Institute of Mathematics, School of Mathematical Science, P.R. China

Keywords: 54D20 , 54C10 , 54D20 , 54C10

Abstract

A space X is almost Rothberger (weakly Rothberger) if for each sequence (u_n : n ∊ ℕ) of open covers of X there exists a sequence (U_n : n ∊ ℕ) such that for every n ∊ ℕ, U ∊ u_n and ∪_n∊ℕ

= X (resp.,

= X). In this paper, we investigate the relationships among Rothberger spaces, almost Rothberger spaces and weakly Rothberger spaces, and also study topological properties of almost Rothberger spaces and weakly Rothberger spaces.

« On the inertia groups of the maximal subgroup 2⁷:Sp₆(2) in Aut(Fi₂₂)

Sequentially pure injectivity »