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Alpert–Kahle–MacPherson homological stability conjecture for sliding fifteen-puzzle configurations
Alpert–Kahle–MacPherson's conjecture. The inclusion of $SF_n(R_{w,h})$ into $F_n(\mathbb{R}^2)$ induces an isomorphism
Conjectureopenconfiguration-spaces homological-stability topological-puzzlesarXiv posted 2 days ago

Alpert–Kahle–MacPherson homological stability conjecture for sliding fifteen-puzzle configurations