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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.

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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.

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