Regularity properties on the generalised reals

Sy David Friedman; Yurii Khomskii; Vadim Kulikov

doi:10.1016/j.apal.2016.01.001

Regularity properties on the generalised reals

Sy David Friedman, Yurii Khomskii, Vadim Kulikov

Forskningsoutput: Tidskriftsbidrag › Artikel › Vetenskaplig › Peer review

Sammanfattning

We investigate regularity properties derived from tree-like forcing notions in the setting of "generalized descriptive set theory", i.e., descriptive set theory on $\kappa^\kappa$ and $2^\kappa$, for regular uncountable cardinals $\kappa$.

Originalspråk	engelska
Tidskrift	Annals of Pure and Applied Logic
Volym	167
Nummer	4
Sidor (från-till)	408-430
Antal sidor	23
ISSN	0168-0072
DOI	https://doi.org/10.1016/j.apal.2016.01.001
Status	Publicerad - apr. 2016
Externt publicerad	Ja
MoE-publikationstyp	A1 Tidskriftsartikel-refererad

Vetenskapsgrenar

111 Matematik

Åtkomst av dokument

10.1016/j.apal.2016.01.001

Citera det här

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title = "Regularity properties on the generalised reals",

abstract = "We investigate regularity properties derived from tree-like forcing notions in the setting of {"}generalized descriptive set theory{"}, i.e., descriptive set theory on $\kappa^\kappa$ and $2^\kappa$, for regular uncountable cardinals $\kappa$. ",

keywords = "111 Mathematics, Generalized Baire spaces, regularity properties, descriptive set theory",

author = "Friedman, {Sy David} and Yurii Khomskii and Vadim Kulikov",

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KW - 111 Mathematics

KW - Generalized Baire spaces

KW - regularity properties

KW - descriptive set theory

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DO - 10.1016/j.apal.2016.01.001

M3 - Article

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JO - Annals of Pure and Applied Logic

JF - Annals of Pure and Applied Logic

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