Lattice-invariant properties of topological spaces
Abstract: W. J. Thron proved in 1962 that regularity and normality are lattice-invariant properties but not
iexcl and . In the present paper it is proved that complete regularity, compactness, local compactness, Lindelöf, second countability and connectedness are lattice-invariant properties. It is also proved that Hausdorff, complete normality, separability, and first countability are not lattice-invariant properties.
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Keywords: Lattice-invariant property, complete regularity, compactness, local compactness, Lindelöf, second countability, connectedness, Hausdorff, complete normality, separability, first countability
Article copyright: © Copyright 1970 American Mathematical Society