论文标题
在亚组夹杂物和亚当森共同体学理论的截面类别上
On the sectional category of subgroup inclusions and Adamson cohomology theory
论文作者
论文摘要
子组包含$ h \ hookrightarrow g $的分段类别可以定义为Eilenberg--Maclane空间之间相应地图的截面类别。我们将Farber，Grant，Lupton和Oprea给出的非球形空间的拓扑复杂性的表征扩展到了亚组包容性的截面类别的背景下，并通过Adamson的共同体学理论进行了调查。
The sectional category of a subgroup inclusion $H \hookrightarrow G$ can be defined as the sectional category of the corresponding map between Eilenberg--MacLane spaces. We extend a characterization of topological complexity of aspherical spaces given by Farber, Grant, Lupton and Oprea to the context of sectional category of subgroup inclusions and investigate it by means of Adamson cohomology theory.
