This is an announcement for the paper "Monotone retractability and retractional skeletons" by Marek Cuth and Ondrej F.K. Kalenda.

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-Hern{'a}ndez 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. Kubi's.

Archive classification: math.GN math.FA

Mathematics Subject Classification: 54C15, 54D30, 46B26

Remarks: 14 pages

Submitted from: kalenda@karlin.mff.cuni.cz

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1403.4480

or

http://arXiv.org/abs/1403.4480