Finiteness classes arising from Ramsey-theoretic statements in set theory without choice

Author:

Brot Joshua,Cao Mengyang,Fernández-Bretón DavidORCID

Funder

Consejo Nacional de Ciencia y Tecnología

National Science Foundation Division of Mathematical Sciences

Publisher

Elsevier BV

Subject

Logic

Reference39 articles.

1. A short proof of Hindman's theorem;Baumgartner;J. Comb. Theory, Ser. A,1974

2. Ramsey's theorem in the hierarchy of choice principles;Blass;J. Symb. Log.,1977

3. Some questions arising from Hindman's theorem;Blass;Sci. Math. Jpn.,2005

4. Partitions and permutation groups;Blass;Contemp. Math.,2011

5. A note on Hindman-type theorems for uncountable cardinals;Carlucci;Order,2019

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1. On Some Open Problems about P-Spaces, Strongly Quasi Baire Spaces and Choice;Results in Mathematics;2023-11-22

2. On Iso-dense and Scattered Spaces without $$\textbf{AC}$$;Results in Mathematics;2023-05-31

3. Hindman’s theorem in the hierarchy of choice principles;Journal of Mathematical Logic;2023-03-16

4. Hindman’s theorem and choice;Acta Mathematica Hungarica;2022-11-23

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