Taiwanese Journal of Mathematics

FIXED POINT AND NON-RETRACT THEOREMS – CLASSICAL CIRCULAR TOURS

Sehie Park and Kwang Sik Jeong

Full-text: Open access

Abstract

We show that the Brouwer fixed point theorem is equivalent to a number of results closely related to the Euclidean spaces or n-simplexes or n-balls. Among them are the Sperner lemma, the KKM theorem, some intersection theorems, various fixed point theorems, an intermediate value theorem, various non-retract theorems, the non-contractibility of spheres, and others.

Article information

Source
Taiwanese J. Math., Volume 5, Number 1 (2001), 97-108.

Dates
First available in Project Euclid: 20 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1500574889

Digital Object Identifier
doi:10.11650/twjm/1500574889

Mathematical Reviews number (MathSciNet)
MR1816131

Zentralblatt MATH identifier
0991.47043

Citation

Park, Sehie; Jeong, Kwang Sik. FIXED POINT AND NON-RETRACT THEOREMS – CLASSICAL CIRCULAR TOURS. Taiwanese J. Math. 5 (2001), no. 1, 97--108. doi:10.11650/twjm/1500574889. https://projecteuclid.org/euclid.twjm/1500574889


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