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Sequences and related closure and compactness properties in frames

Tijdschriftbijdrage - Tijdschriftartikel

The aim of this note is to introduce concepts of sequence and sequence convergence in the point-free setting. These are then used to define sequential closedness and associated compactness properties in frames. The interplay of these closure and compactness notions are investigated. Relating back to the pointed setting provides additional insight into an asymmetric Kuratowski-Mrówka type theorem for countable compactness in general topology.

Tijdschrift: Topology & its Applications
ISSN: 0166-8641
Volume: 309
Toegankelijkheid:Closed