| | |
| | |
Stat |
Members: 3645 Articles: 2'504'928 Articles rated: 2609
25 April 2024 |
|
| | | |
|
Article overview
| |
|
Lusternik-Schnirelmann Theory for a Morse Decomposition | M.R. Razvan
; | Date: |
26 Sep 2000 | Subject: | Dynamical Systems MSC-class: 54H20, 55M30 | math.DS | Abstract: | Let $phi^t$ be a continuous flow on a metric space $X$ and $I$ be an isolated invariant set with an index pair $(N,L)$ and a Morse decomposition ${M_i}^n_{i=1}$. For every category $
u$ on $N/L$, we prove that $
u(N/L)leq
u([L])+sum_{i=1}^n
u(M_i)$. As a result if $phi^t|_I$ is gradient-like and $X$ is semi-locally contractible, then $phi^t$ has at least $
u_H(h(I))-1$ rest points in $I$ where $h(I)$ is the Conley index of $I$ and $
u_H$ is the Homotopy Lusternik-Schnirelmann category. | Source: | arXiv, math.DS/0009224 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |