On analytic groupoid cardinality
نویسندگان
چکیده
Groupoids graded by the groupoid of bijections between finite sets admit generating functions which encode cardinalities their components. As suggested in work Baez and Dolan, we use analytic continuation such to define a complex-valued cardinality for groupoids whose usual diverges. The complex nature invariant is shown reflect recursion structure refer as ‘nested equivalence’.
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ژورنال
عنوان ژورنال: European journal of mathematics
سال: 2022
ISSN: ['2199-675X', '2199-6768']
DOI: https://doi.org/10.1007/s40879-022-00554-4