Computably and punctually universal spaces

We prove that the standard computable presentation of the space C[0,1] of continuous real-valued functions on the unit interval is computably and punctually (primitively recursively) universal. From the perspective of modern computability theory, this settles a problem raised by Sierpiński in the 19...

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Main Authors: Bagaviev, Ramil, Batyrshin, Ilnur I., Bazhenov, Nikolay, Bushtets, Dmitry, Dorzhieva, Marina, Koh, Heer Tern, Kornev, Ruslan, Melnikov, Alexander G., Ng, Keng Meng
其他作者: School of Physical and Mathematical Sciences
格式: Article
語言:English
出版: 2024
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在線閱讀:https://hdl.handle.net/10356/180629
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機構: Nanyang Technological University
語言: English

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