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math.AT2026
Quillen equivalences for truncated multicomplexes
Jiahao Hu
We establish Quillen equivalences between successive truncations of multicomplexes for the model structures that detect weak equivalences simultaneously on prescribed pages of the…
math.AT2026
Bott-Chern and Aeppli homotopy
Jiahao Hu
This paper introduces Bott-Chern and Aeppli homotopy sets for a fibrant class of bisimplicial sets and establishes their basic properties. In positive bidegrees, Bott-Chern homotop…