Geodesic
On Effective $\sigma$-Boundedness and $\sigma$-Compactness in Solovay's Model
Matematičeskie zametki, Tome 98 (2015) no. 2, pp. 247-257

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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. 
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     author = {V. G. Kanovei and V. A. Lyubetskii},
     title = {On {Effective} $\sigma${-Boundedness} and $\sigma${-Compactness} in {Solovay's} {Model}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {247--257},
     publisher = {mathdoc},
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     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_98_2_a9/}
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V. G. Kanovei; V. A. Lyubetskii. On Effective $\sigma$-Boundedness and $\sigma$-Compactness in Solovay's Model. Matematičeskie zametki, Tome 98 (2015) no. 2, pp. 247-257. http://geodesic.mathdoc.fr/item/MZM_2015_98_2_a9/