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.
Citation
Sehie Park. Kwang Sik Jeong. "FIXED POINT AND NON-RETRACT THEOREMS – CLASSICAL CIRCULAR TOURS." Taiwanese J. Math. 5 (1) 97 - 108, 2001. https://doi.org/10.11650/twjm/1500574889
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