广义多边形A的满射：平面、四边形和六边形
Epimorphisms of generalized polygons A: The planes, quadrangles and hexagons
摘要：
受Skornjakov-Hughes-Pasini [9，7，8]的一个定理和我们最近的文章[13]中的一个问题的启发，我们开始研究以粗广义m边形为源，以细广义m边形为目标的满态。在这个系列的第一部分，我们分类的情况m = 3，4和6时，多边形是有限的。然后，我们表明，无限的情况下是非常不同的，并构造的例子，强烈偏离有限的情况。还得到了一些一般的结构定理。在此基础上介绍了局部链生成广义多边形和局部链链生成广义多边形的理论。
英文摘要：
Inspired by a theorem by Skornjakov-Hughes-Pasini [9, 7, 8] and a problem which turned up in our recent paper [13], we start a study of epimorphisms with source a thick generalized m-gon and target a thin generalized m-gon. In this first part of the series, we classify the cases m = 3, 4 and 6 when the polygons are finite. Then we show that the infinite case is very different, and construct examples which strongly deviate from the finite case. A number of general structure theorems are also obtained. We introduce the theory of locally finitely generated generalized polygons and locally finitely chained generalized polygons along the way.
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。
