On iterates of fully closed absolutes |
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| Authors: | Vitaly V Fedorchuk |
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| Institution: | a Chair of General Topology and Geometry, Mechanics and Mathematics Faculty, Moscow State University, Moscow 119899, Russia
b Chair of Applied Mathematics, Russian State Social University, Vil'gel'ma Pika 4-5, Moscow 129256, Russia |
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| 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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| Keywords: | 54C10 54D80 |
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