A note on rank 2 diagonals

2018/11/06 by Bella, Angelo, Spadaro, Santi
#FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.1811.02386

Abstract

We solve two questions regarding spaces with a (G_δ)-diagonal of rank 2. One is a question of Basile, Bella and Ridderbos regarding weakly Lindelöf spaces with a G_δ-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.

Related

• Cardinalities of weakly Lindelöf spaces with regular G_κ-diagonals
• Cardinal invariants of cellular-Lindelof spaces
• Spaces having a small diagonal
• Weakly linearly Lindel"of monotonically normal spaces are Lindel"of
• Regular G_δ-diagonals and some upper bounds for cardinality of topological spaces