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arxiv: 0709.0084 · v2 · submitted 2007-09-02 · 🧮 math.GM

A Fixed Point Conjecture

classification 🧮 math.GM
keywords limitsdirectfixedvoidarbitraryconjectureconjecturedequivalent
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Inverse limits, unlike direct limits, can in general be void, [1]. The existence of fixed points for arbitrary mappings $T : X \longrightarrow X$ is conjectured to be equivalent with the fact that related direct limits of all finite partitions of X are not void.

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