A combinatorial perspective on shape theory
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2025-06-30
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Mathematical Society of Japan
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We give a description of shape theory using finite topological T0-spaces (finite partially ordered sets). This description serves as a first step towards developing computational methods in shape theory for future works. Additionally, we introduce the notion of core for inverse sequences of finite topological spaces and prove some properties.
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Pedro J. CHOCANO. Manuel A. MORÓN. Francisco R. RUIZ DEL PORTAL. "A combinatorial perspective on shape theory." J. Math. Soc. Japan Advance Publication 1 - 24, June, 2025. https://doi.org/10.2969/jmsj/89688968