Geodesic
Contravariant Functors on Finite Sets and Stirling Numbers
Theory and applications of categories, The Lambek Festschrift, Tome 6 (1999), pp. 65-76 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

Voir la notice de l'article

We characterize the numerical functions which arise as the cardinalities of contravariant functors on finite sets, as those which have a series expansion in terms of Stirling functions. We give a procedure for calculating the coefficients in such series and a concrete test for determining whether a function is of this type. A number of examples are considered.

Classification : 18A22, 05A10.
Keywords: Functor, cardinality, Stirling numbers. 
@article{TAC_1999_6_a4,
     author = {Robert Par\'e},
     title = {Contravariant {Functors} on {Finite} {Sets} and {Stirling} {Numbers}},
     journal = {Theory and applications of categories},
     pages = {65--76},
     year = {1999},
     volume = {6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_1999_6_a4/}
}
TY  - JOUR
AU  - Robert Paré
TI  - Contravariant Functors on Finite Sets and Stirling Numbers
JO  - Theory and applications of categories
PY  - 1999
SP  - 65
EP  - 76
VL  - 6
UR  - http://geodesic.mathdoc.fr/item/TAC_1999_6_a4/
LA  - en
ID  - TAC_1999_6_a4
ER  - 
%0 Journal Article
%A Robert Paré
%T Contravariant Functors on Finite Sets and Stirling Numbers
%J Theory and applications of categories
%D 1999
%P 65-76
%V 6
%U http://geodesic.mathdoc.fr/item/TAC_1999_6_a4/
%G en
%F TAC_1999_6_a4
Robert Paré. Contravariant Functors on Finite Sets and Stirling Numbers. Theory and applications of categories, The Lambek Festschrift, Tome 6 (1999), pp. 65-76. http://geodesic.mathdoc.fr/item/TAC_1999_6_a4/