We solve two questions regarding spaces with a (G)-diagonal of rank 2. One is a question of Basile, Bella and Ridderbos about weakly Lindelof spaces with a G-diagonal of rank 2 and the other is a question of Arhangel'skii and Bella asking whether every space with a diagonal of rank 2 and cellularity continuum has cardinality at most continuum.

A note on rank 2 diagonals

Bella A.;Spadaro S.
2020

Abstract

We solve two questions regarding spaces with a (G)-diagonal of rank 2. One is a question of Basile, Bella and Ridderbos about weakly Lindelof spaces with a G-diagonal of rank 2 and the other is a question of Arhangel'skii and Bella asking whether every space with a diagonal of rank 2 and cellularity continuum has cardinality at most continuum.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/371661
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