Operations on tessellations and metamorphoses of the category of G-sets.

Christian Léger

Revista Matemática de la Universidad Complutense de Madrid (1991)

  • Volume: 4, Issue: 1, page 45-51
  • ISSN: 1139-1138

Abstract

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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 generally change the topological type of the surface.

How to cite

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Léger, Christian. "Opérations sur les cartes et métamorphoses de la catégorie des G-ensembles.." Revista Matemática de la Universidad Complutense de Madrid 4.1 (1991): 45-51. <http://eudml.org/doc/44293>.

@article{Léger1991,
author = {Léger, Christian},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Teoría de categorías; Functores; Teselaciones; Automorfismos; metamorphosis of a category; autoequivalence functor; group of metamorphoses of the category of -sets; group of outer automorphisms; tessellations on a surface; cartographic group; category of tesselations},
language = {fre},
number = {1},
pages = {45-51},
title = {Opérations sur les cartes et métamorphoses de la catégorie des G-ensembles.},
url = {http://eudml.org/doc/44293},
volume = {4},
year = {1991},
}

TY - JOUR
AU - Léger, Christian
TI - Opérations sur les cartes et métamorphoses de la catégorie des G-ensembles.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1991
VL - 4
IS - 1
SP - 45
EP - 51
LA - fre
KW - Teoría de categorías; Functores; Teselaciones; Automorfismos; metamorphosis of a category; autoequivalence functor; group of metamorphoses of the category of -sets; group of outer automorphisms; tessellations on a surface; cartographic group; category of tesselations
UR - http://eudml.org/doc/44293
ER -

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