Measurable Cardinals and the Cardinality of Lindelöf Spaces

Marion Scheepers

doi:10.1016/j.topol.2010.03.004

Measurable Cardinals and the Cardinality of Lindelöf Spaces

Marion Scheepers

Mathematics Department

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

5 Scopus citations

Abstract

We obtain from the consistency of the existence of a measurable cardinal the consistency of "small" upper bounds on the cardinality of a large class of Lindelöf spaces whose singletons are G δ sets.

Original language	American English
Pages (from-to)	1651-1657
Number of pages	7
Journal	Topology and its Applications
Volume	157
Issue number	9
DOIs	https://doi.org/10.1016/j.topol.2010.03.004
State	Published - 15 Jun 2010

Keywords

Forcing
Indestructibly Lindelöf
Infinite game
Measurable cardinal
Rothberger space
Weakly precipitous ideal

EGS Disciplines

Mathematics

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10.1016/j.topol.2010.03.004

Cite this

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title = "Measurable Cardinals and the Cardinality of Lindel{\"o}f Spaces",

abstract = "We obtain from the consistency of the existence of a measurable cardinal the consistency of {"}small{"} upper bounds on the cardinality of a large class of Lindel{\"o}f spaces whose singletons are G δ sets.",

keywords = "Forcing, Indestructibly Lindel{\"o}f, Infinite game, Measurable cardinal, Rothberger space, Weakly precipitous ideal",

author = "Marion Scheepers",

year = "2010",

month = jun,

day = "15",

doi = "10.1016/j.topol.2010.03.004",

language = "American English",

volume = "157",

pages = "1651--1657",

number = "9",

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TY - JOUR

T1 - Measurable Cardinals and the Cardinality of Lindelöf Spaces

AU - Scheepers, Marion

PY - 2010/6/15

Y1 - 2010/6/15

N2 - We obtain from the consistency of the existence of a measurable cardinal the consistency of "small" upper bounds on the cardinality of a large class of Lindelöf spaces whose singletons are G δ sets.

AB - We obtain from the consistency of the existence of a measurable cardinal the consistency of "small" upper bounds on the cardinality of a large class of Lindelöf spaces whose singletons are G δ sets.

KW - Forcing

KW - Indestructibly Lindelöf

KW - Infinite game

KW - Measurable cardinal

KW - Rothberger space

KW - Weakly precipitous ideal

UR - https://www.scopus.com/pages/publications/77952886751

UR - https://scholarworks.boisestate.edu/math_facpubs/33

U2 - 10.1016/j.topol.2010.03.004

DO - 10.1016/j.topol.2010.03.004

M3 - Article

SN - 0016-660X

VL - 157

SP - 1651

EP - 1657

JO - Topology and its Applications

JF - Topology and its Applications

IS - 9

ER -

Measurable Cardinals and the Cardinality of Lindelöf Spaces

Abstract

Keywords

EGS Disciplines

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