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Menger-type covering properties of topological spaces
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In this paper we find conditions under which the properties of Menger, almost
Menger and weakly Menger are equivalent as well as the corresponding
properties of Lindel?f-type. We give counterexamples that show the
interrelations between those properties. The subject of our investigation is
also the preservation of almost Menger and weakly Menger properties under
subspaces and products. We also consider the weaker versions of Alster space
and D-spaces.
Title: Menger-type covering properties of topological spaces
Description:
In this paper we find conditions under which the properties of Menger, almost
Menger and weakly Menger are equivalent as well as the corresponding
properties of Lindel?f-type.
We give counterexamples that show the
interrelations between those properties.
The subject of our investigation is
also the preservation of almost Menger and weakly Menger properties under
subspaces and products.
We also consider the weaker versions of Alster space
and D-spaces.
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