Pointfree prime representation of real Riesz maps |
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Authors: | A Karimi Feizabadi M M Ebrahimi |
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Institution: | (1) Department of Mathematics, Islamic Azad University, Gorgan, Iran;(2) Department of Mathematics, Shahid Behesti University, Tehran, 19839, Iran |
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Abstract: | In classical topology it is proved, nonconstructively, that for a topological space X, every bounded Riesz map ϕ in C(X) is of the form
for a point x ∈ X. In this paper our main objective is to give the pointfree version of this result. In fact, we constructively represent each
real Riesz map on a compact frame M by prime elements.
Received March 23, 2004; accepted in final form May 14, 2005. |
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Keywords: | 06D22 46A40 46B40 46B42 |
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