Geodesic
Unstable maps
Gareth A. Jones1 ; Gareth A. Jones
1School of Mathematics, University of Southampton, Southhampton, United Kingdom
Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 2, pp. 341-350 
Gareth A. Jones; Gareth A. Jones. Unstable maps. Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 2, pp. 341-350. http://geodesic.mathdoc.fr/item/AMUC_2019_88_2_a13/
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     author = {Gareth A. Jones and Gareth A. Jones},
     title = { Unstable maps},
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     year = {2019},
     volume = {88},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2019_88_2_a13/}
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Voir la notice de l'article provenant de la source Comenius University

A map which is non-orientable or has non-empty boundary has acanonical double cover which is orientable and has empty boundary.The map is called stable if every automorphism of this cover is a liftof an automorphism of the map. This note describes several innitefamilies of unstable maps, and relates them to similar phenomena forgraphs, hypermaps and Klein surfaces.