On a Hypothesis for ℵ0-Bounded Groups

Marion Scheepers

doi:10.1016/j.topol.2019.02.058

On a Hypothesis for ℵ₀-Bounded Groups

Marion Scheepers

Mathematics Department

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

4 Scopus citations

Abstract

We show that it is consistent, relative to the consistency of a strongly inaccessible cardinal, that an instance of the generalized Borel Conjecture introduced in [6] holds while the classical Borel Conjecture fails.

Original language	American English
Pages (from-to)	229-238
Number of pages	10
Journal	Topology and its Applications
Volume	258
DOIs	https://doi.org/10.1016/j.topol.2019.02.058
State	Published - 15 May 2019

Keywords

Borel Conjecture
Generalized Borel Hypothesis
Kurepa Hypothesis
Rothberger bounded
ℵ0-bounded group

EGS Disciplines

Mathematics

Access to Document

10.1016/j.topol.2019.02.058License: CC BY-NC-ND

On a Hypothesis for sub 0 sub -Bounded GroupsAccepted author manuscript, 1.42 MBLicense: CC BY-NC-ND

Cite this

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title = "On a Hypothesis for ℵ0-Bounded Groups",

abstract = " We show that it is consistent, relative to the consistency of a strongly inaccessible cardinal, that an instance of the generalized Borel Conjecture introduced in [6] holds while the classical Borel Conjecture fails.",

keywords = "Borel Conjecture, Generalized Borel Hypothesis, Kurepa Hypothesis, Rothberger bounded, ℵ0-bounded group",

author = "Marion Scheepers",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier B.V.",

year = "2019",

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doi = "10.1016/j.topol.2019.02.058",

language = "American English",

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AB - We show that it is consistent, relative to the consistency of a strongly inaccessible cardinal, that an instance of the generalized Borel Conjecture introduced in [6] holds while the classical Borel Conjecture fails.

KW - Borel Conjecture

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KW - Kurepa Hypothesis

KW - Rothberger bounded

KW - ℵ0-bounded group

UR - https://www.scopus.com/pages/publications/85062954535

UR - https://scholarworks.boisestate.edu/math_facpubs/253

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JO - Topology and its Applications

JF - Topology and its Applications

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