Publication: Computational approximations of compact metric spaces
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Publication Date
2022-02-12
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Publisher
Elsevier
Abstract
Given a compact metric space X, we associate to it an inverse sequence of finite T0 topological spaces. The inverse limit of this inverse sequence contains a homeomorphic copy of X that is a strong deformation retract. We provide a method to approximate the homology groups of X and other algebraic invariants. Finally, we study computational aspects and the implementation of this method.