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- W2950231036 abstract "If $mathcal{N}$ is a proper Polish metric space and $mathcal{M}$ is any countable dense submetric space of $mathcal{N}$, then the Scott rank of $mathcal{N}$ in the natural first order language of metric spaces is countable and in fact at most $omega_1^{mathcal{M}} + 1$, where $omega_1^{mathcal{M}}$ is the Church-Kleene ordinal of $mathcal{M}$ (construed as a subset of $omega$) which is the least ordinal with no presentation on $omega$ computable from $mathcal{M}$. If $mathcal{N}$ is a rigid Polish metric space and $mathcal{M}$ is any countable dense submetric space, then the Scott rank of $mathcal{N}$ is countable and in fact less than $omega_1^{mathcal{M}}$." @default.
- W2950231036 created "2019-06-27" @default.
- W2950231036 creator A5016918393 @default.
- W2950231036 date "2019-06-10" @default.
- W2950231036 modified "2023-09-27" @default.
- W2950231036 title "Bounds on Scott Ranks of Some Polish Metric Spaces" @default.
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- W2950231036 doi "https://doi.org/10.48550/arxiv.1906.04351" @default.
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