Moduli of spaces with prescribed homotopy groups

نویسندگان

چکیده

We describe a homotopy-theoretic approach to the theory of moduli realizations Blanc-Dwyer-Goerss, reproducing their obstructions realizing given Π-algebra as homotopy groups pointed space. Our techniques are based on ∞-category PΣ(Sph) product-preserving presheaves finite wedges positive-dimensional spheres, leading more conceptual and streamlined arguments.

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ژورنال

عنوان ژورنال: Journal of Pure and Applied Algebra

سال: 2023

ISSN: ['1873-1376', '0022-4049']

DOI: https://doi.org/10.1016/j.jpaa.2023.107409