Advertisement

aequationes mathematicae

, Volume 57, Issue 1, pp 45–49 | Cite as

An elementary solution to the mountain climbers' problem

  • V. J. López

Summary.

In this paper the following well known result is proved in a constructive elementary way: if f 1, f 2 : [0, 1] → [0,1] are locally non-constant continuous functions with f 1 (0) = f 2 (0) = 0, f 1 (1) = f 2 (1) = 1, then there are functions g 1, g 2 with the same properties such that \( f_1\circ g_1=f_2\circ g_2 \).

Keywords

Continuous Function Elementary Solution Mountain Climber 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Verlag, Basel, 1999

Authors and Affiliations

  • V. J. López
    • 1
  1. 1.Departamento de Matemáticas, Universidad de Murcia, Campus de Espinardo, Aptdo. de Correos 4021, E-30100 Murcia, Spain, e-mail: vjimenez@fcu.um.esSP

Personalised recommendations