Yasuhito Tanaka
Abstract
We show that Brouwer’s fixed point theorem with isolated fixed points is equivalent to Brouwer’s fan theorem.
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We show that Brouwer’s fixed point theorem with isolated fixed points is equivalent to Brouwer’s fan theorem.
Key concepts: Fixed-point theorem, Kakutani fixed-point theorem, Brouwer fixed-point theorem, Fixed point, Fixed-point property, Lefschetz fixed-point theorem, Schauder fixed point theorem, Mathematics