Ranicki–Weiss assembly and the Steenrod construction

Medina-Mardones, Anibal

doi:10.1090/proc/16685

Ranicki–Weiss assembly and the Steenrod construction
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by Anibal M. Medina-Mardones;

Proc. Amer. Math. Soc. 152 (2024), 2249-2259

DOI: https://doi.org/10.1090/proc/16685

Published electronically: March 14, 2024

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Abstract:

It is shown that the Ranicki–Weiss assembly functor, going from chain complex valued presheaves on a simplicial complex to comodules over its Alexander–Whitney coalgebra, factors fully faithfully through the category of comodules over its Steenrod cup-$i$ coalgebra.

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