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.
Bella A., Spadaro S. (2020). A note on rank 2 diagonals. APPLIED GENERAL TOPOLOGY, 21(1), 81-85 [10.4995/agt.2020.12065].
A note on rank 2 diagonals
Spadaro S.
2020-01-01
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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