Search Results

You are looking at 1 - 3 of 3 items for :

  • "almost Lindelöf" x
Clear All

Abstract  

We introduce the concept of relatively almost Lindelf subsets as a generalization of almost Lindelf subspaces. We study various properties of relatively almost Lindelf subsets and investigate the relationship between relatively almost Lindelf subsets and almost Lindelf subspaces. A special interest is given to spaces X in which almost Lindelf subsets relative to X are closed.

Restricted access

Summary  

A subset Y of a space X is weakly almost Lindelf in X if for every open cover U of X, there exists a countable subfamily  V of  U such that Y ⊆ comp (∩V ). We investigate the relationship between relatively weakly almost  Lindelf subsets and relatively almost  Lindelf subsets, and also study various properties of relatively weakly almost  Lindelf subsets.

Restricted access

Abstract  

The purpose of this note is to show that there exist two Tychonoff spaces X, Y, a subset A of X and a subset B of Y such that A is weakly almost Lindelf in X and B is weakly almost Lindelf in Y, but A B is not weakly almost Lindelf in X Y.

Restricted access