重合值性质的推广
Generalizations of the Coincidence Value Property
摘要：
对于T2空间中的$f,g:X\longrightarrow X$连续映射和交换映射，研究了$X$和$(f,g)$对上重合值存在的各种条件.我们引入广义的概念的重合值属性，并使用这种增加的灵活性，以确定如何各种重合属性的$X$有关的$X$上的群作用和重合属性的相关纤维束和adjunction空间。我们还提出了一个层理论的方法来获得有关重合值的信息，通过建设一个“几乎恒定”的预层。特别地，我们证明了关于$X$是低维球或闭单位盘的特殊情况的几个部分结果。
英文摘要：
For $f,g:X\longrightarrow X$ continuous and commuting maps of a Hausdorff space, we investigate various conditions on $X$ and on the pair $(f,g)$ which provide existence of a coincidence value. We introduce generalized notions of the coincidence value property and use this added flexibility to determine how various coincidence properties of $X$ are related to group actions on $X$ and to coincidence properties of associated fibre bundles and adjunction spaces. We also present a sheaf theoretical approach to obtaining information concerning coincidence values through construction of an "almost constant" presheaf. In particular, we prove several partial results concerning the special cases where $X$ is either a low dimensional dimensional sphere or the closed unit disk.
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。
