论文标题

lusternik-schnirelmann理论从$ a _ {\ infty} $ - 视点

Lusternik-Schnirelmann theory to Topological Complexity from $A_{\infty}$-view point

论文作者

Iwase, Norio

论文摘要

我们正在尝试将Lusternik-Schnirmann理论(简称L-S理论)和拓扑复杂性(简称为TC)视为L-S理论的自然扩展。特别是,我们专注于源自E. Fadell和S. Husseini对这两种理论的想法的影响。更确切地说,我们看到他们在类别重量上的想法以及相对类别如何推动L-S理论和TC。

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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