Regularity properties on the generalized reals

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• 作者：Sy David Friedman¹ ; ^{sdf@logic.univie.ac.at" class="auth_mail" title="E-mail the corresponding author} ; Yurii Khomskii ; ² ; ^{yurii@deds.nl" class="auth_mail" title="E-mail the corresponding author} ; Vadim Kulikov ; ³ ; ^{vadim.kulikov@iki.fi" class="auth_mail" title="E-mail the corresponding author}
• 关键词：03E15 ; 03E40 ; 03E30 ; 03E05
• 刊名：Annals of Pure and Applied Logic
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：167
• 期：4
• 页码：408-430
• 全文大小：579 K

文摘

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