Forum Math. 16 (2004), 695–715

نویسندگان

  • Pietro Donatini
  • Patrizio Frosini
چکیده

Let us consider two closed homeomorphic manifolds M;N of class C 1 and two functions j : M ! R, c : N ! R of class C . The natural pseudodistance d between the pairs ðM; jÞ; ðN;cÞ is defined as the infimum of Yð f Þ 1⁄4 def maxP AMjjðPÞ cð f ðPÞÞj, as f varies in the set of all homeomorphisms from M onto N. In this paper we prove that a suitable multiple of d by a positive integer k coincides with the distance between two critical values of the functions j;c. 2000 Mathematics Subject Classification: 58C05, 58K05; 53C15.

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تاریخ انتشار 2004