Objects of categories as complex numbers

Marcelo Fiore, Tom Leinster · Advances in Mathematics · 2002

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Type: article
Published: 2002-12-30
Cited by: 17
References: 8
Access: Open access
DOI: https://doi.org/10.1016/j.aim.2004.01.002
arXiv: https://arxiv.org/abs/math/0212377
OpenAlex: https://openalex.org/W2073216698
Semantic Scholar: https://api.semanticscholar.org/CorpusID:119127835

Keywords

Mathematics, Statement (logic), Subtraction, Arithmetic, Algebra over a field

References

Isomorphisms of generic recursive polynomial typesMarcelo Fiore — 2004
Seven trees in oneAndreas Blass — 1994
On the generic solution toP(X) ≅ X in distributive categoriesR. Gates — 1998
An objective representation of the Gaussian integersMarcelo Fiore, Tom Leinster — 2002
On the Structure of SemigroupsJ. A. Green — 1951
Some thoughts on the future of category theoryF. Lawvere — 1991
Coherence for distributivityM. Laplaza — 1972
Negative sets have Euler characteristic and dimensionS. Schanuel — 1991

Cited by

Foundations of categorified representation theoryAlexander E. Hoffnung — 2010
MATHEMATICAL ASPECTS OF CONSCIOUSNESS THEORYMatti Pitkänen — 2009
Groupoidification Made EasyJohn C. Baez, Alexander E. Hoffnung, Christopher D. Walker — 2008
Compact closed bicategoriesMichael Stay — 2013
Isomorphisms of generic recursive polynomial typesMarcelo Fiore — 2004
The Hecke BicategoryAlexander E. Hoffnung — 2010
A general theory of self-similarityTom Leinster — 2004
An objective representation of the Gaussian integersMarcelo Fiore, Tom Leinster — 2002
Physics, Topology, Logic and Computation:John C. Baez, Mike Stay — 2009
Operational Calculus for Differentiable ProgrammingŽiga Sajovic — 2016
Operatorski račun nad programskimi prostoriZiga Sajovic — 2017
Higher Dimensional Algebra VII: GroupoidificationJohn C. Baez, Alexander E. Hoffnung, Christopher D. Walker — 2009
On analytic groupoid cardinalityJames Fullwood — 2021
How to Take the Inverse of a TypeBernardo Almeida, Mordido, Andreia, Peter Thiemann — 2022
A Correspondence between Stack Permutations and Binary Trees via Hille EncodingK.L. Liu, Lan Du — 2025
Hopf Algebras, Quantum Groups and Yang-Baxter EquationsFlorin F. Nichita — 2019
Constructing Polymorphic Programs with Quotient TypesM. Abbott, Thorsten Altenkirch, Neil Ghani — 2004
Algebra of TreesDaniel Parrochia, P. Neuville — 2013

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