All weakly contractible non-contractible finite topological spaces with ten points are classified: none with one or two middle elements, six with three, and four with four, all having contractible order complexes.
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On Weakly Contractible Non-Contractible Finite Topological Spaces of Ten Points
All weakly contractible non-contractible finite topological spaces with ten points are classified: none with one or two middle elements, six with three, and four with four, all having contractible order complexes.