Date

1965

Document Type

Thesis

Degree

Master of Science

Department

Mathematics

First Adviser

Gulden, Samuel L.

Abstract

In this paper, it is proved that if the space is a compact Hausdorff space, then the set of real valued continuous functions is also a distributive lattice, where fVg is defined by fVg(x) = f(x)Vg(x) for all x, and f^g is defined similarly. It is also proved that the lattice structure of the set of continuous functions determines the topological spsace up to homeomorphism.

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