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2021 Equivalent forms of the Brouwer fixed point theorem II
Adam Idzik, Władysław Kulpa, Piotr Maćkowiak
Topol. Methods Nonlinear Anal. 57(1): 71-15 (2021). DOI: 10.12775/TMNA.2020.036

Abstract

Equivalents of the Brouwer fixed point theorem are proved. They involve formulations either for the standard simplex or for the cube. Characterizations of continuous functions defined on the standard simplex are also presented. The famous Steinhaus chessboard theorem is generalized.

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Adam Idzik. Władysław Kulpa. Piotr Maćkowiak. "Equivalent forms of the Brouwer fixed point theorem II." Topol. Methods Nonlinear Anal. 57 (1) 71 - 15, 2021. https://doi.org/10.12775/TMNA.2020.036

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Published: 2021
First available in Project Euclid: 5 March 2021

Digital Object Identifier: 10.12775/TMNA.2020.036

Rights: Copyright © 2021 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.57 • No. 1 • 2021
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