scholarly journals On the shape Conley index theory of semiflows on complete metric spaces

2015 ◽  
Vol 36 (3) ◽  
pp. 1629-1647 ◽  
Author(s):  
Jintao Wang ◽  
Desheng Li ◽  
Jinqiao Duan
Keyword(s):  
Metric Spaces ◽  
Index Theory ◽  
Conley Index ◽  
Complete Metric Spaces ◽  
Conley Index Theory

LUSTERNIK–SCHNIRELMANN CATEGORY BASED ON THE DISCRETE CONLEY INDEX THEORY

2018 ◽  
Vol 61 (03) ◽  
pp. 693-704
Author(s):  
KATSUYA YOKOI
Keyword(s):  
Index Theory ◽  
Conley Index ◽  
Invariant Sets ◽  
Conley Index Theory ◽  
Lusternik Schnirelmann

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

scholarly journals On Conley's fundamental theorem of dynamical systems

2004 ◽  
Vol 2004 (26) ◽  
pp. 1397-1401 ◽  
Author(s):  
M. R. Razvan
Keyword(s):  
Dynamical Systems ◽  
Fundamental Theorem ◽  
Index Theory ◽  
Conley Index ◽  
Morse Decomposition ◽  
Conley Index Theory

We generalize Conley's fundamental theorem of dynamical systems in Conley index theory. We also conclude the existence of a regular index filtration for every Morse decomposition.

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