On Brouwer's Fixed Point Theorem

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Abstract

The paper presents an explicit formula for the number of fixed point of a C∞ map of a segment [a, b] âŠ‚ â„. While the formula can be derived from the Lefschetz fixed point theorem for general CW -complexes, the new proof is instructive and highlights the contributions of degenerate fixed points.

  • N. Tarkhanov Universität Potsdam lnstitut für Mathematik, Postfach 60 15 53, 14415 Potsdam, Germany.
  • Pages: 115–121
  • Date Published: 2004-03-01
  • Vol. 6 No. 1 (2004): CUBO, A Mathematical Journal

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Published

2004-03-01

How to Cite

[1]
N. Tarkhanov, “On Brouwer’s Fixed Point Theorem”, CUBO, vol. 6, no. 1, pp. 115–121, Mar. 2004.

Issue

Vol. 6 No. 1 (2004): CUBO, A Mathematical Journal

Section

Articles