“…The reader is referred to [4] and [2] for definitions and notation used throughout. In looking for a solution to this problem, one tries to find conditions that will guarantee that an abstract lattice can be embedded in a C(X, R) for some unique space X.…”
“…The reader is referred to [4] and [2] for definitions and notation used throughout. In looking for a solution to this problem, one tries to find conditions that will guarantee that an abstract lattice can be embedded in a C(X, R) for some unique space X.…”
“…In the literature one can find several papers related with this topic; namely [1,2,8,14], or [10], although all these approaches assume X a compact Hausdorff space.…”
In our previous paper (Hušek and Pulgarín, Topol Appl, ) we characterized the set C(X) of real-valued continuous functions on a topological space X as a real -group. The present paper weakens the situation to the level of semi-affine lattices.
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