ON EMBEDDING OF F-HEDGEHOGS IN FUNCTION SPACES

Abstract

For a filter F, SF = {∞} ⋃ {(n,m): n,m ∈ N} be the F-hedgehog (F-fan) of spininess ω where each (n,m) is isolated in SF and a basic open neighborhood of 1 is of the form N(φ) = {∞} ⋃ {(n,m): n 2 N,m 2 φ(n)} for function φ: N → F. We study some connections among the F*-Menger property and an embedding of F-hedgehog SF into function spaces for any P-filter F. © (2023), (Mathematical Institute of the Serbian Academy of Sciences and Arts). All Rights Reserved.