The partially pre-ordered set of compactifications of Cp(X, Y)

In the set of compactifications of X we consider the partial pre-order defined by (W, h) ≤X (Z, g) if there is a continuous function f : Z ⇢ W, such that (f ∘ g)(x) = h(x) for every x ∈ X. Two elements (W, h) and (Z, g) of K(X) are equivalent, (W, h) ≡X (Z, g), if there is a homeomorphism h : W ! Z...

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Bibliographic Details
Main Authors: Dorantes-Aldama A., Rojas-Hernández R., Tamariz-Mascarúa Á.
Format: Article
Language:English
Published: De Gruyter 2015-07-01
Series:Topological Algebra and its Applications
Subjects:
Online Access:http://www.degruyter.com/view/j/taa.2015.3.issue-1/taa-2015-0002/taa-2015-0002.xml?format=INT