Volume 3, Number 1, January 2007, pp. 213-224
			Alexander J. Zaslavski
Key words:
		complete metric space, minimax problem, open everywhere dense set
	Mathematices Subject Classification: 49J35, 54E52
			References

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	Abstract:
	In this paper we study a class of maximum type functions satisfying a growth condition. This class is identified with a complete metric space of pairs of continuously differentiable functions defined on a real line. It is shown that a set of all pairs (f,g ) for which there is a point of minimum of the corresponding maximum type function, where this function is differentiable and where f and g possess the same value, is a closed nowhere dense subset of the whole space of pairs.

On generic nondifferentiability of maximum type functions at a point of minimum

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