Projective versions of the properties in the Scheepers Diagram

摘要

Let P be a topological property. A.V. Arhangel'skii calls X projectively P if every second countable continuous image of X is P. Lj.D.R. KoCinac characterized the classical covering properties of Menger, Rothberger, Hurewicz and Gerlits-Nagy in term of continuous images in R-omega. In this paper we study the functional characterizations of all projective versions of the selection properties in the Scheepers Diagram. (C) 2020 Elsevier B.V. All rights reserved.