Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615437 | Journal of Mathematical Analysis and Applications | 2015 | 14 Pages |
Abstract
We prove that a countably compact space is monotonically retractable if and only if it has a full retractional skeleton. In particular, a compact space is monotonically retractable if and only if it is Corson. This gives an answer to a question of R. Rojas-Hernández and V.V. Tkachuk. Further, we apply this result to characterize retractional skeleton using a topology on the space of continuous functions, answering thus a question of the first author and a related question of W. Kubiś.
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Marek Cúth, Ondřej F.K. Kalenda,