标题： 等变拓扑复杂度 显示英文标题

标题： Equivariant topological complexity

摘要： 我们定义并研究了具有给定紧群作用的空间的Farber拓扑复杂性的等变版本。 这是等变映射的等变截面范畴的一个特例，也在本文中进行了定义。 这些不变量与等变Lusternik-Schnirelmann范畴的关系被给出。 几个例子和计算用于突出与非等变情况的相似性和差异性。 我们还指出如何利用等变拓扑复杂性来估计非等变拓扑复杂性。 显示英文摘要

摘要： We define and study an equivariant version of Farber's topological complexity for spaces with a given compact group action. This is a special case of the equivariant sectional category of an equivariant map, also defined in this paper. The relationship of these invariants with the equivariant Lusternik-Schnirelmann category is given. Several examples and computations serve to highlight the similarities and differences with the non-equivariant case. We also indicate how the equivariant topological complexity can be used to give estimates of the non-equivariant topological complexity.