A good lightface <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msubsup><mml:mrow><mml:mi>Δ</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msubsup></mml:math> well-ordering of the reals does not imply the existence of boldface <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1158.svg"><mml:msubsup><mml:mrow><mml:mi mathvariant="bold">Δ</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mo linebreak="badbreak" linebreakstyle="after">−</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msubsup></mml:math> well-orderings-Reference-Cited by-同舟云学术

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A good lightface Δn1 well-ordering of the reals does not imply the existence of boldface Δn−11 well-orderings

Published:2024-06 Issue:6 Volume:175 Page:103426
ISSN:0168-0072
Container-title:Annals of Pure and Applied Logic
language:en
Short-container-title:Annals of Pure and Applied Logic

Author:

Kanovei Vladimir^ORCID,Lyubetsky Vassily

Funder

Russian Science Foundation

Publisher

Elsevier BV

Reference38 articles.

1. A minimal model for ¬CH: iteration of Jensen's reals;Abraham;Trans. Am. Math. Soc.,1984

2. Some consequences of the axiom of constructibility;Addison;Fundam. Math.,1959

3. Δ∼n1 sets of reals;Bagaria;J. Symb. Log.,1997

4. Projective well-orderings of the reals;Caicedo;Arch. Math. Log.,2006

5. BPFA and projective well-orderings of the reals;Caicedo;J. Symb. Log.,2011

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