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.

中文翻译：

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拓扑球形空间形式的自映射的半群

拓扑球面空间形式是球体在有限基团的自由作用下的商。通常，它们的同态类型取决于组的特定操作。我们表明，拓扑球形空间形式的自映射的同构类的monoid是由作用组和球的尺寸决定的，而不取决于特定的动作。