On a Hypothesis for ℵ0-Bounded Groups

Marion Scheepers

On a Hypothesis for ℵ₀-Bounded Groups

Mathematics Department

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

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
Journal	Mathematics Faculty Publications and Presentations
State	Published - 15 May 2019

Keywords

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

EGS Disciplines

Mathematics

Access to Document

On a Hypothesis for sub 0 sub -Bounded GroupsFinal published version, 1.42 MBLicense: Unspecified

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 = "Scheepers, Marion. (2019). {"}On a Hypothesis for ℵ0-Bounded Groups{"}. Topology and Its Applications, 258, 229-238. https://doi.org/10.1016/j.topol.2019.02.058",

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N1 - Scheepers, Marion. (2019). "On a Hypothesis for ℵ0-Bounded Groups". Topology and Its Applications, 258, 229-238. https://doi.org/10.1016/j.topol.2019.02.058

PY - 2019/5/15

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N2 - 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.

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

KW - Generalized Borel Hypothesis

KW - Kurepa Hypothesis

KW - Rothberger bounded

KW - ℵ0-bounded group

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

M3 - Article

JO - Mathematics Faculty Publications and Presentations

JF - Mathematics Faculty Publications and Presentations

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