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Opérations sur les cartes et métamorphoses de la catégorie des G-ensembles.

Christian Léger — 1991

Revista Matemática de la Universidad Complutense de Madrid

We call metamorphosis of a given category an autoequivalence functor up to within natural equivalence. We show that, given a group G, the group of metamorphoses of the category of G-sets (as well as the corresponding group for ?sufficiently big? subcategories) may be naturally identified to the group of outer automorphism of G. We get by this way a natural description of a group of known operations on tessellations of a surface: the identity operation, the Poincaré duality, and four others which...

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