Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660437 | Topology and its Applications | 2007 | 7 Pages |
Abstract
In this article we give a sufficient condition for a space X to have the fully closed absolute faX with the property fa(faX)=faX. An example of a compact space X such that the canonical mapping fa(α+1)X→fa(α)X (where α is a given ordinal) is not a homeomorphism is constructed. Also we give an example of a compact space X such that the canonical mapping faX→X is not a homeomorphism but for which there exists a homeomorphism faX→X.
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