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Mathematics > Algebraic Topology
Title: On the weak homotopy types of small finite spaces
(Submitted on 19 Apr 2024)
Abstract: We show that a connected finite topological space with $12$ or less points has a weak homotopy type of a wedge of spheres. In other words, we show that the order complex of a connected finite poset with $12$ or less points has a homotopy type of a wedge of spheres.
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