Compact spaces with a P-diagonal

Alan Dow; Klaas Pieter Hart

doi:10.1016/j.indag.2016.01.005

Compact spaces with a P-diagonal

Alan Dow, Klaas Pieter Hart

Analysis

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

8 Citations (Scopus)

Abstract

We prove that compact Hausdorff spaces with a PP-diagonal are metrizable. This answers problem 4.1 (and the equivalent problem 4.12) from Cascales et al. (2011).

Original language	English
Pages (from-to)	721-726
Number of pages	6
Journal	Indagationes Mathematicae
Volume	27
Issue number	3
DOIs	https://doi.org/10.1016/j.indag.2016.01.005
Publication status	Published - 2016

Keywords

Compact space
Cantor cube
b
d
Diagonal
P-diagonal
P-dominated space
Metrizability

Access to Document

10.1016/j.indag.2016.01.005

Cite this

@article{01a0985004864fd3a3b2cb40c926e655,

title = "Compact spaces with a P-diagonal",

abstract = "We prove that compact Hausdorff spaces with a PP-diagonal are metrizable. This answers problem 4.1 (and the equivalent problem 4.12) from Cascales et al. (2011).",

keywords = "Compact space, Cantor cube, b, d, Diagonal, P-diagonal, P-dominated space, Metrizability",

author = "Alan Dow and Hart, {Klaas Pieter}",

year = "2016",

doi = "10.1016/j.indag.2016.01.005",

language = "English",

volume = "27",

pages = "721--726",

journal = "Indagationes Mathematicae",

issn = "0019-3577",

publisher = "Elsevier",

number = "3",

}

TY - JOUR

T1 - Compact spaces with a P-diagonal

AU - Dow, Alan

AU - Hart, Klaas Pieter

PY - 2016

Y1 - 2016

N2 - We prove that compact Hausdorff spaces with a PP-diagonal are metrizable. This answers problem 4.1 (and the equivalent problem 4.12) from Cascales et al. (2011).

AB - We prove that compact Hausdorff spaces with a PP-diagonal are metrizable. This answers problem 4.1 (and the equivalent problem 4.12) from Cascales et al. (2011).

KW - Compact space

KW - Cantor cube

KW - b

KW - d

KW - Diagonal

KW - P-diagonal

KW - P-dominated space

KW - Metrizability

U2 - 10.1016/j.indag.2016.01.005

DO - 10.1016/j.indag.2016.01.005

M3 - Article

SN - 0019-3577

VL - 27

SP - 721

EP - 726

JO - Indagationes Mathematicae

JF - Indagationes Mathematicae

IS - 3

ER -

Compact spaces with a P-diagonal

Abstract

Keywords

Access to Document

Fingerprint

Cite this