Lattice-invariant topological properties
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- by P. L. Sharma PDF
- Proc. Amer. Math. Soc. 34 (1972), 565-569 Request permission
Abstract:
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 lattice-equivalent to X. Several topological properties are shown to be lattice-invariant.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 34 (1972), 565-569
- MSC: Primary 54D20
- DOI: https://doi.org/10.1090/S0002-9939-1972-0295277-2
- MathSciNet review: 0295277