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math.KT2024★ 1 cited
Squares K-theory and 2-Segal spaces
Maxine E. Calle, Maru Sarazola
We define an -construction for squares categories, and introduce a class of squares categories we call "proto-Waldhausen" which capture the properties required for the $…
math.KT2024
A combinatorial -theory perspective on the Edge Reconstruction Conjecture in graph theory
Maxine E. Calle, Julian J. Gould
We provide a framework for abstract reconstruction problems using the -theory of categories with covering families, which we then apply to reformulate the edge reconstruction co…