On analytic groupoid cardinality

DOI10.1007/s40879-022-00554-4zbMath1491.18007arXiv2104.11399OpenAlexW3158494020MaRDI QIDQ2157478

James Fullwood

Publication date: 22 July 2022

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.11399

zbMATH Keywords

generating functiongroupoidscardinalityanalytic combinatoricscategorification

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Categories in geometry and topology (18F99) Categorical structures (18D99) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Cites Work

• The Lefschetz trace formula for algebraic stacks
• Objects of categories as complex numbers
• The volume of a differentiable stack
• Une théorie combinatoire des séries formelles
• On the generic solution to \(P(X)\cong X\) in distributive categories
• Seven trees in one
• The Euler characteristic of a category as the sum of a divergent series
• The Euler characteristic of a category
• Isomorphisms of generic recursive polynomial types
• Higher-Dimensional Algebra VII: Groupoidification
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