ninfty: A software package for homotopical combinatorics

2025/04/01 by Scott Balchin, Balchin, Scott · 5 citations
Mathematics · #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2504.01003

openalex publication_date 2025/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 ninfty repository moreover contains a folder with data files for many common finite groups. This is in addition to Sage code which can be used to generate input data for further finite groups, and Sage code for generating input data for abstract lattices which may not arise at the subgroup lattice of a group.

Cited by

• Notes on model structures on preorders
• Characterizing Transfer Systems for Non-Abelian Groups
• Left and right Bousfield localization on lattices
• Formal Concept Analysis and Homotopical Combinatorics
• On minimal bases in homotopical combinatorics

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