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- W2950764641 abstract "We extend the Luzin hierarchy of qcb$_0$-spaces introduced in [ScS13] to all countable ordinals, obtaining in this way the hyperprojective hierarchy of qcb$_0$-spaces. We generalize all main results of [ScS13] to this larger hierarchy. In particular, we extend the Kleene-Kreisel continuous functionals of finite types to the continuous functionals of countable types and relate them to the new hierarchy. We show that the category of hyperprojective qcb$_0$-spaces has much better closure properties than the category of projective qcb$_0$-space. As a result, there are natural examples of spaces that are hyperprojective but not projective." @default.
- W2950764641 created "2019-06-27" @default.
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- W2950764641 date "2015-01-01" @default.
- W2950764641 modified "2023-09-24" @default.
- W2950764641 title "Hyperprojective hierarchy of qcb0-spaces" @default.
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- W2950764641 doi "https://doi.org/10.3233/com-150031" @default.
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