Lattice-invariant Topological Properties
نویسنده
چکیده
The purpose of this paper is to show that an isomorphism between the lattices of all closed sets of two topological spaces induces an isomorphism on the lattices of their zero-sets. This is achieved by showing that any continuous real-valued function on a space X can be transferred to any space latticeequivalent to X. Several topological properties are shown to be lattice-invariant.
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تاریخ انتشار 2010