A Theory of Length and its Applications to the Calculus of Variations

Karl Menger
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Karl Menger: University of Notre Dame

A chapter in Selecta Mathematica, 2002, pp 399-403 from Springer

Abstract: Abstract 1. Variational Distance and Geometric Distance.—Let S be a limit class, i.e., a set for whose points convergence is defined. By a curve we mean a continuous mapping of a closed interval of real numbers into S. On the basis of the definition of convergence for points we can define convergence for sequences of curves.

Date: 2002
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DOI: 10.1007/978-3-7091-6110-4_28

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