3 papers
math.CO2025
Formal Concept Analysis and Homotopical Combinatorics
Scott Balchin, Ben Spitz
Formal Concept Analysis makes the fundamental observation that any finite lattice is determined up to isomorphism by the restriction of the relation ${\leq} \subseteq L…
math.AT2025
On minimal bases in homotopical combinatorics
Katharine Adamyk, Scott Balchin, Miguel Barrero +3
We present a development in the computational suite for the study of operads for a finite group . This progress is achieved using the simple yet powerful observation…
math.CO2025
ninfty: A software package for homotopical combinatorics
Scott Balchin
We introduce ninfty, a header-only C++ library distributed under an MIT Open Source License designed for the study of enumeration problems arising in homotopical combinatorics. The…