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The functorial composition of species, a forgotten operation

✍ Scribed by Hélène Décoste; Gilbert Labelle; Pierre Leroux

Book ID
103060167
Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
996 KB
Volume
99
Category
Article
ISSN
0012-365X

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✦ Synopsis

Decoste, H., G. Labelle and P. Leroux, The functorial composition of species, a forgotten operation, Discrete Mathematics 99 (1992) 31-48. In order to study the functorial composition of species, we introduce the auxiliary concepts of cyclic type and fixed points enumerator of a species. Basic formulas are established and applications are given to the computation of the cycle index series of classes of graphs, pure m-complexes, coverings and m-ary relations that are structured in various ways. * Partially supported by grants NSERC A5660 (Canada) and FCAR EQ1608 (Quebec).

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✍ Andreas Weiermann 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 222 KB

## Abstract We give a simple and elementary proof of the following result of Girard and Vauzeilles which is proved in [5]: “The binary Veblen function ψ: __On × On — On__ is a dilator.” Our proof indicates the intimate connection between the traditional theory of ordinal notation systems and Girard