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Perfect subsets of invariant CA-sets
V. G. Kanovei, V. A. Lyubetskii
Institute for Information Transmission Problems, Russian Academy of Sciences
Abstract:
The familiar theorem that any $\Sigma^1_2(a)$-set $X$ of real numbers (where $a$ is a fixed real parameter) not containing a perfect kernel necessarily satisfies the condition $X\subseteq\mathbf L[a]$ is extended to a wider class of sets, with countable ordinals allowed as additional parameters in $\Sigma^1_2(a)$-definitions.
DOI:
https://doi.org/10.4213/mzm2496
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English version:
Mathematical Notes, 2005, 77:3, 307–310
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UDC:
510.225
Received: 31.10.2003
Citation:
V. G. Kanovei, V. A. Lyubetskii, “Perfect subsets of invariant CA-sets”, Mat. Zametki, 77:3 (2005), 334–338; Math. Notes, 77:3 (2005), 307–310
Citation in format AMSBIB
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