图上的地图可以变形为无重合的
Maps on graphs can be deformed to be coincidence-free
摘要：
给出了一个通过同伦变换图（1-复形）上连续映射的重合点的构造。当余域不同胚的圆，我们表明，任何对地图可以改变同伦是重合自由。这意味着在这种情况下不可能有非平凡的重合指数、Nielsen重合数或重合Reidemeister迹，并且我们以前的论文“A formula for the coincidence Reidemeister trace of selfmaps on bouches of circles”的结果是无效的。
英文摘要：
We give a construction to remove coincidence points of continuous maps on graphs (1-complexes) by changing the maps by homotopies. When the codomain is not homeomorphic to the circle, we show that any pair of maps can be changed by homotopies to be coincidence free. This means that there can be no nontrivial coincidence index, Nielsen coincidence number, or coincidence Reidemeister trace in this setting, and the results of our previous paper "A formula for the coincidence Reidemeister trace of selfmaps on bouquets of circles" are invalid.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
