Higher dimensional cardinal characteristics for sets of functions
نویسندگان
چکیده
Much recent work in cardinal characteristics has focused on generalizing results about ω to uncountable cardinals by studying analogues of classical the generalized Baire and Cantor spaces κ 2 . In this note I look at generalizations other function spaces, focusing particularly space functions f : → By considering invariants setting derive a number “higher dimensional” such cardinals, ultimately introducing 18 new invariants, alongside framework that allows for numerous others. These form two separate diagrams consisting 6 12 respectively, each resembling versions Cichoń diagram. ZFC -inequalities are first main result paper. then consider relations between these as well c + show rely additional assumptions Finally, using variations Cohen, Hechler, localization forcing prove consistency possible values cardinals.
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 2022
ISSN: ['0168-0072', '1873-2461']
DOI: https://doi.org/10.1016/j.apal.2021.103031