V. G. Kanovei, V. A. Lyubetskii, “On Effective $\sigma$-Boundedness and $\sigma$-Compactness in Solovay's Model”, Mat. Zametki, 2015, Volume 98, Issue 2,Pages 247

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On Effective $\sigma$-Boundedness and $\sigma$-Compactness in Solovay's Model

V. G. Kanovei, V. A. Lyubetskii

A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow

Abstract: Two dichotomy theorems on the effective $\sigma$-boundedness and effective $\sigma$-compactness of ordinal definable point sets in Solovay's model are proved.

Keywords: Solovay's model, effective $\sigma$-boundedness, effective $\sigma$-compactness, descriptive set theory.

UDC: 510.225

Received: 27.09.2013
Revised: 03.03.2015

DOI: 10.4213/mzm10415