Measurable Cardinals and the Cardinality of Lindelöf Spaces

Marion Scheepers

Measurable Cardinals and the Cardinality of Lindelöf Spaces

Mathematics Department

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

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
Journal	Topology and its Applications
State	Published - 15 Jun 2010

Keywords

Rothberger space
forcing
indestructibly Lindelöf
infinite game
measurable cardinal
weakly precipitous ideal

EGS Disciplines

Mathematics

Access to Document

https://doi.org/10.1016/j.topol.2010.03.004

Cite this

@article{b0b713eec4644610ae8a3ade7e38d94d,

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 = "Rothberger space, forcing, indestructibly Lindel{\"o}f, infinite game, measurable cardinal, weakly precipitous ideal",

author = "Marion Scheepers",

year = "2010",

month = jun,

day = "15",

language = "American English",

}

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 - Rothberger space

KW - forcing

KW - indestructibly Lindelöf

KW - infinite game

KW - measurable cardinal

KW - weakly precipitous ideal

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

UR - https://doi.org/10.1016/j.topol.2010.03.004

M3 - Article

SN - 0016-660X

JO - Topology and its Applications

JF - Topology and its Applications

ER -

Measurable Cardinals and the Cardinality of Lindelöf Spaces

Abstract

Keywords

EGS Disciplines

Access to Document

Other files and links

Fingerprint

Cite this