Characterization of compact monotonically ( $ω$ )-monolithic spaces using system of retractions

preprint2014arXivOpen access

We prove that a compact space is monotonically Sokolov if and only if it is monotonically $ω$ -monolithic. This gives answers to several questions of R. Rojas-Hernandez and V. V. Tkachuk.

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Characterization of compact monotonically ( $ω$ )-monolithic spaces using system of retractions

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Characterization of compact monotonically (ωωω)-monolithic spaces using system of retractions

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Characterization of compact monotonically ( $ω$ )-monolithic spaces using system of retractions