A note on rank 2 diagonals

Angelo Bella; Santi Spadaro

doi:10.4995/agt.2020.12065

A note on rank 2 diagonals

Angelo Bella
, Santi Spadaro

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	81-85
Number of pages	5
Journal	Applied General Topology
Volume	21
Issue number	1
DOIs	https://doi.org/10.4995/agt.2020.12065
State	Published - 1 Jan 2020
Externally published	Yes

Keywords

Cardinality bounds
Dual properties
G-diagonal
Neighbour-hood assignment
Weakly lindelöf

ASJC Scopus subject areas

Geometry and Topology

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10.4995/agt.2020.12065

Cite this

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abstract = "We solve two questions regarding spaces with a (Gδ)-diagonal of rank 2. One is a question of Basile, Bella and Ridderbos about weakly Lindel{\"o}f spaces with a Gδ-diagonal of rank 2 and the other is a question of Arhangel{\textquoteright}skii and Bella asking whether every space with a diagonal of rank 2 and cellularity continuum has cardinality at most continuum.",

keywords = "Cardinality bounds, Dual properties, G-diagonal, Neighbour-hood assignment, Weakly lindel{\"o}f",

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

KW - Cardinality bounds

KW - Dual properties

KW - G-diagonal

KW - Neighbour-hood assignment

KW - Weakly lindelöf

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A note on rank 2 diagonals

Abstract

Keywords

ASJC Scopus subject areas

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