Weak square sequences and special Aronszajn trees

John Krueger

Fundamenta Mathematicae (2013)

  • Volume: 221, Issue: 3, page 267-284
  • ISSN: 0016-2736

Abstract

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A classical theorem of set theory is the equivalence of the weak square principle μ * with the existence of a special Aronszajn tree on μ⁺. We introduce the notion of a weak square sequence on any regular uncountable cardinal, and prove that the equivalence between weak square sequences and special Aronszajn trees holds in general.

How to cite

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John Krueger. "Weak square sequences and special Aronszajn trees." Fundamenta Mathematicae 221.3 (2013): 267-284. <http://eudml.org/doc/282717>.

@article{JohnKrueger2013,
abstract = {A classical theorem of set theory is the equivalence of the weak square principle $□_μ*$ with the existence of a special Aronszajn tree on μ⁺. We introduce the notion of a weak square sequence on any regular uncountable cardinal, and prove that the equivalence between weak square sequences and special Aronszajn trees holds in general.},
author = {John Krueger},
journal = {Fundamenta Mathematicae},
keywords = {weak square sequence; special Aronszajn tree},
language = {eng},
number = {3},
pages = {267-284},
title = {Weak square sequences and special Aronszajn trees},
url = {http://eudml.org/doc/282717},
volume = {221},
year = {2013},
}

TY - JOUR
AU - John Krueger
TI - Weak square sequences and special Aronszajn trees
JO - Fundamenta Mathematicae
PY - 2013
VL - 221
IS - 3
SP - 267
EP - 284
AB - A classical theorem of set theory is the equivalence of the weak square principle $□_μ*$ with the existence of a special Aronszajn tree on μ⁺. We introduce the notion of a weak square sequence on any regular uncountable cardinal, and prove that the equivalence between weak square sequences and special Aronszajn trees holds in general.
LA - eng
KW - weak square sequence; special Aronszajn tree
UR - http://eudml.org/doc/282717
ER -

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