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1. 

   Striking differences between ZF and ZF+weak choice in view of metric spaces

   Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Horst Herrlich Kyriakos Keremedis Eleftherios Tachtsis

   Well-known properties held by metric spaces with the countable chain condition (ccc) such as separability, second countability, Lindelöf, paracompactness may fail in the absence of the axiom of choice AC. In the long catalogue of weak choice principles, see [10],...

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2. 

   Notes on Uniform Frames

   Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Themba Dube

   We introduce the notion of uniform paracompactness to uniform frames and give several characterisations thereof. In another context, we show that the locally fine reflector commutes with the completion in the category of strong nearness frames.

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3. 

   Notes on sublocales and dissolution

   Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Jorge Picado --- University of Coimbra, Portugal Aleš Pultr --- Charles University, Czech Republic

   The dissolution (introduced by Isbell in [3], discussed by Johnstone in [5] and later exploited by Plewe in [12, 13]) is here viewed as the relation of the geometry of L with that of the more dispersed T(L) = S(L)op...

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