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

Research output: Contribution to journal › Article › Scientific › peer-review

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 $\kappa$.

Original language	English
Journal	Annals of Pure and Applied Logic
Volume	167
Issue number	4
Pages (from-to)	408-430
Number of pages	23
ISSN	0168-0072
DOIs	https://doi.org/10.1016/j.apal.2016.01.001
Publication status	Published - Apr 2016
Externally published	Yes
MoE publication type	A1 Journal article-refereed

Fields of Science

111 Mathematics

Access to Document

10.1016/j.apal.2016.01.001

Cite this

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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 $\kappa$. ",

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

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AU - Khomskii, Yurii

AU - Kulikov, Vadim

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N2 - 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 $\kappa$.

AB - 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 $\kappa$.

KW - 111 Mathematics

KW - Generalized Baire spaces

KW - regularity properties

KW - descriptive set theory

U2 - 10.1016/j.apal.2016.01.001

DO - 10.1016/j.apal.2016.01.001

M3 - Article

SN - 0168-0072

VL - 167

SP - 408

EP - 430

JO - Annals of Pure and Applied Logic

JF - Annals of Pure and Applied Logic

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