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We show that any metacompact Moore space is monotonically metacompact and use that
result to characterize monotone metacompactness in certain generalized ordered (GO) …

We investigate the relations between decreasing sequences of sets and the insertion of
semi-continuous functions, and give some characterizations of countably metacompact …

In this paper, we characterize monotonically countably paracompact (or monotonically
countably metacompact) spaces by semi-continuous maps with values into some ordered …

Monotone versions of countable paracompactness Page 1 Topology and its Applications
154 (2007) 734–740 www.elsevier.com/locate/topol Monotone versions of countable …

The definition of monotone weak Lindelöfness is similar to monotone versions of other
covering properties: X is monotonically weakly Lindelöf if there is an operator r that assigns …

In this paper, we consider the problem of inserting semi-continuous function above the
(generalized) real-valued function in a monotone fashion. We provide some …

We show that, if an MCP (monotonically countably paracompact) space fails to be
collectionwise Hausdorff, then there is a measurable cardinal and that, if there are two …

This paper deals with the study of closed images or quasi-perfect images of Nagata spaces,
contraconvergent spaces, weak contraconvergent spaces, ks-spaces, γ-spaces and wγ …

Let X, Y be sets with quasiproximities◃ X and◃ Y (where A◃ B is interpreted as “B is a
neighborhood of A”). Let f, g: X→ Y be a pair of functions such that whenever C◃ YD, then f …