An autostable 2 nilpotent group with no Scott family of finitary formulas.
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Tusupov, D.A. (2007)
Sibirskij Matematicheskij Zhurnal
Pavel Materna (1979)
Kybernetika
Morozov, A.S., Kasymkanuly, Boribaj (2004)
Sibirskij Matematicheskij Zhurnal
Vinokurov, N.S. (2005)
Sibirskij Matematicheskij Zhurnal
Puzarenko, V.G. (2005)
Sibirskij Matematicheskij Zhurnal
Rodney G. Downey, Asher M. Kach, Steffen Lempp, Daniel D. Turetsky (2013)
Fundamenta Mathematicae
We study the notion of computable categoricity of computable structures, comparing it especially to the notion of relative computable categoricity and its relativizations. We show that every 1 decidable computably categorical structure is relatively Δ⁰₂ categorical. We study the complexity of various index sets associated with computable categoricity and relative computable categoricity. We also introduce and study a variation of relative computable categoricity, comparing it to both computable...
Alaev, P. E. (2003)
Sibirskij Matematicheskij Zhurnal
Alexander G. Melnikov, Keng Meng Ng (2016)
Fundamenta Mathematicae
We use ideas and machinery of effective algebra to investigate computable structures on the space C[0,1] of continuous functions on the unit interval. We show that (C[0,1],sup) has infinitely many computable structures non-equivalent up to a computable isometry. We also investigate if the usual operations on C[0,1] are necessarily computable in every computable structure on C[0,1]. Among other results, we show that there is a computable structure on C[0,1] which computes + and the scalar multiplication,...
Buzykaeva, A.N. (2002)
Sibirskij Matematicheskij Zhurnal
Morozov, A.S. (2006)
Sibirskij Matematicheskij Zhurnal
Pavlovskij, E.N. (2008)
Sibirskij Matematicheskij Zhurnal
Vinokurov, N.S. (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
Alaev, P.E. (2004)
Sibirskij Matematicheskij Zhurnal
Vinokurov, N.S. (2006)
Sibirskij Matematicheskij Zhurnal
Vinokurov, N.S. (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
Fokina, E.B. (2007)
Sibirskij Matematicheskij Zhurnal
Morozov, A.S., Buzykaeva, A.N. (2002)
Sibirskij Matematicheskij Zhurnal
Dzgoev, V.D. (2000)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
Khisamiev, N.G. (2007)
Sibirskij Matematicheskij Zhurnal
Latkin, I.V. (2002)
Sibirskij Matematicheskij Zhurnal
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