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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
De Gruyter
2015-07-01
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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 |