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math.GN2024
Finite approximations of countable metric and ultrametric compacta
Diego Mondéjar
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 i…
math.GN2024
Hausdorff reflection preserves shape
Diego Mondéjar
We show that the Hausdorff reflection preserves the shape type of spaces. Some examples as well as the applicability in inverse limits of finite spaces are presented.