Monotone transformations and differential properties of functions

Autor: Kaplan, L. I., Slobodnik, S. G.
Zdroj: Mathematical Notes; December 1977, Vol. 22 Issue: 6 p971-978, 8p
Abstrakt: The class of all real functions of a single variable which become everywhere differentiable after a certain homeomorphic transformation of coordinate axis is described. Moreover, various examples about differential properties of functions are given (in particular, an elementary construction of a nonconstant continuously differentiable real function of two variables, every value of which is critical-the example of Whitney, is given).
Databáze: Supplemental Index