A regular topological space having no closed subsets of cardinality n2

Martin Goldstern; Haim I. Judah; Saharon Shelah

doi:10.1090/S0002-9939-1991-1052572-9

A regular topological space having no closed subsets of cardinality n2

Martin Goldstern, Haim I. Judah, Saharon Shelah

Einstein Institute of Mathematics

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

Abstract

Using ◊_λ⁺, we construct a regular topological space in which all closed sets are of cardinality either < λ or ≥ 2.In particular (answering a question of Juhász) there is always a regular space in which no closed set has cardinality N₂.

Original language	English
Pages (from-to)	1151-1159
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	111
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9939-1991-1052572-9
State	Published - Apr 1991

Access to Document

10.1090/S0002-9939-1991-1052572-9

Cite this

@article{10e6ab983a604d4f9f3e1f538617090a,

title = "A regular topological space having no closed subsets of cardinality n2",

abstract = "Using ◊λ+, we construct a regular topological space in which all closed sets are of cardinality either < λ or ≥ 2.In particular (answering a question of Juh{\'a}sz) there is always a regular space in which no closed set has cardinality N2.",

author = "Martin Goldstern and Judah, {Haim I.} and Saharon Shelah",

year = "1991",

month = apr,

doi = "10.1090/S0002-9939-1991-1052572-9",

language = "אנגלית",

volume = "111",

pages = "1151--1159",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "4",

}

TY - JOUR

T1 - A regular topological space having no closed subsets of cardinality n2

AU - Goldstern, Martin

AU - Judah, Haim I.

AU - Shelah, Saharon

PY - 1991/4

Y1 - 1991/4

N2 - Using ◊λ+, we construct a regular topological space in which all closed sets are of cardinality either < λ or ≥ 2.In particular (answering a question of Juhász) there is always a regular space in which no closed set has cardinality N2.

AB - Using ◊λ+, we construct a regular topological space in which all closed sets are of cardinality either < λ or ≥ 2.In particular (answering a question of Juhász) there is always a regular space in which no closed set has cardinality N2.

UR - http://www.scopus.com/inward/record.url?scp=84968501838&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1991-1052572-9

DO - 10.1090/S0002-9939-1991-1052572-9

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:84968501838

SN - 0002-9939

VL - 111

SP - 1151

EP - 1159

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 4

ER -

A regular topological space having no closed subsets of cardinality n2

Abstract

Access to Document

Other files and links

Fingerprint

Cite this