A formula for the categorical magnitude in terms of the Moore-Penrose pseudoinverse

DOI10.36045/j.bbms.230331zbMath1529.18003arXiv2303.12176MaRDI QIDQ6179262

Juan Pablo Vigneaux, Stephanie T. Chen

Publication date: 16 January 2024

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.12176

zbMATH Keywords

Euler characteristicMöbius inversioncategory theoryMoore-Penrose pseudoinversemagnitude

Mathematics Subject Classification ID

Categorical structures (18D99) Applications of generalized inverses (15A10)

Cites Work

• Unnamed Item
• Unnamed Item
• The magnitude of metric spaces
• Generalized inverses over integral domains
• On generalized inverses of matrices over integral domains
• Generalized inverses. Theory and applications.
• Notions of Möbius inversion
• The Euler characteristic of a category
• Full Rank Factorization of Matrices
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]