Lattice-Invariant Topological Properties
نویسندگان
چکیده
منابع مشابه
Lattice-invariant Topological Properties
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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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1972
ISSN: 0002-9939
DOI: 10.2307/2038407