In this paper we introduce concepts of higher equivariant and invariant topological complexities and study their properties. Then we compare them with equivariant LS-category. We give lower and upper bounds for these new invariants. We compute some of these invariants for moment angle complexes.

中文翻译：

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等变和不变拓扑复杂性更高

在本文中，我们介绍了高等变和不变拓扑复杂性的概念，并研究了它们的性质。然后，我们将它们与等变LS类进行比较。我们为这些新的不变量给出上下限。我们为矩角复合体计算了一些不变量。