Level sets of uniform quotient mappings from Rn to R do not need to be locally connected.

Beata Randrianantoanina

Collectanea Mathematica (2004)

  • Volume: 55, Issue: 2, page 139-150
  • ISSN: 0010-0757

Abstract

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We give an example of a uniform quotient map from R2 to R which has non-locally connected level sets.

How to cite

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Randrianantoanina, Beata. "Level sets of uniform quotient mappings from Rn to R do not need to be locally connected.." Collectanea Mathematica 55.2 (2004): 139-150. <http://eudml.org/doc/44334>.

@article{Randrianantoanina2004,
abstract = {We give an example of a uniform quotient map from R2 to R which has non-locally connected level sets.},
author = {Randrianantoanina, Beata},
journal = {Collectanea Mathematica},
keywords = {Análisis no lineal; Mapeo (Algebra); Espacios localmente conexos; Lipschitz and uniform quotient mappings; level sets},
language = {eng},
number = {2},
pages = {139-150},
title = {Level sets of uniform quotient mappings from Rn to R do not need to be locally connected.},
url = {http://eudml.org/doc/44334},
volume = {55},
year = {2004},
}

TY - JOUR
AU - Randrianantoanina, Beata
TI - Level sets of uniform quotient mappings from Rn to R do not need to be locally connected.
JO - Collectanea Mathematica
PY - 2004
VL - 55
IS - 2
SP - 139
EP - 150
AB - We give an example of a uniform quotient map from R2 to R which has non-locally connected level sets.
LA - eng
KW - Análisis no lineal; Mapeo (Algebra); Espacios localmente conexos; Lipschitz and uniform quotient mappings; level sets
UR - http://eudml.org/doc/44334
ER -

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