Mathieu Vallée

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math.AT2026

Power set operads

Mathieu Vallée

We introduce a systematic method for constructing set-theoretic operads via iterated application of the power set functor, and use it to uncover a hierarchy connecting several clas…

math.AT2024

Toric wedge induction and toric lifting property for piecewise linear spheres with a few vertices

Suyoung Choi, Hyeontae Jang, Mathieu Vallée

Let $K$ be an $(n - 1)$ -dimensional piecewise linear sphere on $[m]$ , where $m \leq n + 4$ . There are a canonical action of $m$ -dimensional torus $T^{m}$ on the moment-angle complex $\mat…