We introduce polyhedral products in an ∞-categorical setting. We generalize a splitting result by Bahri, Bendersky, Cohen, and Gitler that determines the stable homotopy type of the a polyhedral product. We also introduce a motivic refinement of moment-angle complexes and use the splitting result to compute cellular A¹-homology, and A¹-Euler characteristics.
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William Hornslien (2024) studied this question.
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