3 citations · 5 across the 13 of their papers we have counts for
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math.AT2022★ 1 cited
The Hurewicz theorem for cubical homology
Daniel Carranza, Chris Kapulkin, Andrew Tonks
We give an elementary proof of the Hurewicz theorem relating homotopy and homology groups of a cubical Kan complex. Our approach is based on the notion of a loop space of a cubical…
math.AT2022
Homotopy groups of cubical sets
Daniel Carranza, Chris Kapulkin
We define and study homotopy groups of cubical sets. To this end, we give four definitions of homotopy groups of a cubical set, prove that they are equivalent, and further that the…