Level sets of uniform quotient mappings from Rn to R do not need to be locally connected.
Randrianantoanina, Beata
Collectanea Mathematica, Tome 55 (2004), p. 139-150 / Harvested from Biblioteca Digital de Matemáticas
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We give an example of a uniform quotient map from R2 to R which has non-locally connected level sets.

Publié le : 2004-01-01
DMLE-ID : 803 
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     title = {Level sets of uniform quotient mappings from Rn to R do not need to be locally connected.},
     journal = {Collectanea Mathematica},
     volume = {55},
     year = {2004},
     pages = {139-150},
     zbl = {1063.54020},
     mrnumber = {MR2068972},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44334}
}

Randrianantoanina, Beata. Level sets of uniform quotient mappings from Rn to R do not need to be locally connected.. Collectanea Mathematica, Tome 55 (2004) pp. 139-150. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44334/