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Finite approximations of countable metric and ultrametric compacta (2412.14325v1)
Published 18 Dec 2024 in math.GN and math.GT
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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