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LUSTERNIK–SCHNIRELMANN CATEGORY BASED ON THE DISCRETE CONLEY INDEX THEORY

Part of: Topological dynamics Classical Topics in Algebraic Topology

Published online by Cambridge University Press:  30 October 2018

KATSUYA YOKOI
KATSUYA YOKOI*
Affiliation:
Department of Mathematics, Jikei University School of Medicine, Chofu, Tokyo 182-8570, Japan e-mail: yokoi@jikei.ac.jp
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Abstract

We study Lusternik–Schnirelmann type categories for isolated invariant sets by the use of the discrete Conley index.

MSC classification

Primary: 37B30: Index theory, Morse-Conley indices
Secondary: 37B35: Gradient-like and recurrent behavior; isolated (locally maximal) invariant sets 55M30: Ljusternik-Schnirelman (Lyusternik-Shnirel'man) category of a space
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 61 , Issue 3 , September 2019 , pp. 693 - 704
Copyright
Copyright © Glasgow Mathematical Journal Trust 2018 

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