拓扑复杂性的Lusternik-Schnirelmann理论

Pub Date : 2022-08-16 DOI:10.12775/tmna.2022.060

Norio Iwase

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引用次数: 0

摘要

我们试图将Lusternik-Schnirelmann理论（简称L-S理论）和拓扑复杂性（简称TC）视为L-S理论的自然扩展。我们特别关注法德尔和侯赛尼的思想对这两种理论的影响。更准确地说，我们看到了他们关于范畴权重和相对范畴的想法是如何推动L-S理论和TC的。

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Lusternik-Schnirelmann theory to topological complexity from $A_{\infty}$-view point

We are trying to look over the Lusternik-Schnirelmann theory (L-S theory, for short) and the Topological Complexity (TC, for short) as a natural extension of the L-S theory. In particular, we focus on the impact of the ideas originated from E. Fadell and S. Husseini on both theories. More precisely, we see how their ideas on a category weight and a relative category drive the L-S theory and the TC.

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