**
Separately continuous functions on ****R**^{n}: from Cauchy mistake, through Lebesgue
contributions, to contemporary results

by

**
Krzysztof Chris Ciesielski,
**

unpublished notes of 2012.

We will briefly describe a history of study of functions from **R**^{n} to **R** that are continuous
with respect to each variable or, more generally, when restricted to different surfaces of co-dimension 1.
In particular, we present a new elementary example of a discontinuous function
of n-variables whose restriction to any hyperplane is continuous.

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**Last modified June 17, 2012.**