Lusternik-Schnirelmann theory to topological complexity from $A_{\infty}$-view point
DOI:
https://doi.org/10.12775/TMNA.2022.060Keywords
Lusternik-Schnirelmann category, topological complexity, fibrewise theory, $A_{\infty}$-structure, classifying spaceAbstract
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.References
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