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arXiv · 2412.14325

Finite approximations of countable metric and ultrametric compacta

Diego Mondéjar
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Abstract

Adapting a homotopy reconstruction theorem for general metric compacta, we show that every countable metric or ultrametric compact space can be topologically reconstructed as the inverse limit of a sequence of finite $T_0$ spaces which are finer approximations of the space.

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Diego Mondéjar. 2024-12-18. Finite approximations of countable metric and ultrametric compacta. https://arxiv.org/abs/2412.14325

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