论文标题

拓扑球形空间形式的自图的单体

Monoids of self-maps of topological spherical space forms

论文作者

Kishimoto, Daisuke, Oda, Nobuyuki

论文摘要

拓扑球形空间形式是有限群体的自由作用的球体的商。通常,它们的同质类型取决于组的特定动作。我们表明,拓扑球形空间形式的自图的同型类别的单体类别由代理组和球体的维度确定,而不是取决于特定的作用。

A topological spherical space form is the quotient of a sphere by a free action of a finite group. In general, their homotopy types depend on specific actions of a group. We show that the monoid of homotopy classes of self-maps of a topological spherical space form is determined by the acting group and the dimension of the sphere, not depending on a specific action.

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