A space X is monotonically Lindelof if there is an operator r that assigns to every open cover $cal U$ a countable open cover $r({cal U})$ so that $r({cal U})$ refines $cal U$, and $r({calU})$ refines $r({cal V})$ whenever $cal U$ refines $cal V$. We consider the monotone versions of the multicover forms of the Lindelof property: Menger, Hurewicz, Rothberger.
Monotone versions of some selection principles
Bonanzinga, M.
;BASILE, Fortunata Aurora
2019-01-01
Abstract
A space X is monotonically Lindelof if there is an operator r that assigns to every open cover $cal U$ a countable open cover $r({cal U})$ so that $r({cal U})$ refines $cal U$, and $r({calU})$ refines $r({cal V})$ whenever $cal U$ refines $cal V$. We consider the monotone versions of the multicover forms of the Lindelof property: Menger, Hurewicz, Rothberger.File in questo prodotto:
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Monotone versions of some selection principles Bonanzinga_Matveev_Basile.pdf
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