Level sets of uniform quotient mappings from Rn to R do not need to be locally connected.
We give an example of a uniform quotient map from R2 to R which has non-locally connected level sets.
Local homeomorphisms and related mappings on graphs
Local homeomorphisms onto tree-like continua
Locally connected curves viewed as inverse limits
Locally one-to-one mappings on graphs
Locally weakly confluent mappings on hereditarily locally connected continua
L-space without any uncountable 0-dimensiolan subspace