发表机构
Universidade Federal de Mato Grosso do Sul（南马托格罗索联邦大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究紧致李群间同态下\(\phi\)-等变映射存在性的障碍，通过阐述过滤群变换障碍，应用于有限循环群到圆的包含及环面间同态，为相关映射存在性研究提供新方法。
AI 中文摘要
设\(\phi: G\to H\)为紧致李群之间的连续同态，\(X\)为\(G\)-空间，\(Y\)为\(H\)-空间。我们阐述了关于\(\phi\)-等变映射\(X\to Y\)存在性的过滤群变换障碍。将其应用于有限循环群到圆的包含以及环面之间在奇数维球面乘积上坐标作用的同态。
英文摘要
Let $ϕ: G\to H$ be a continuous homomorphism between compact Lie groups, let $X$ be a $G$-space, and let $Y$ be an $H$-space. We formulate a filtered change-of-groups obstruction to the existence of a $ϕ$-equivariant map $X\to Y$. We apply them to the inclusion of a finite cyclic group into the circle and to homomorphisms between tori acting coordinatewise on products of odd-dimensional spheres.
