The Homotopy Index and Partial Differential Equations

by Krzysztof P. Rybakowski

The homotopy index theory was developed by Charles Conley for two- sided flows on compact spaces. The homotopy or Conley index, which provides an algebraic-topologi- cal measure of an isolated invariant set, is defined to be the ho- motopy type of the quotient space N /N, where is a certain 1 2 1 2 compact pair, called an index pair. Roughly speaking, N1 isolates the invariant set and N2 is the "exit ramp" of N . 1 It is shown that the index is independent...

• Format: Paperback
• Language: English
• ISBN: 3540180672
• ISBN13: 9783540180678
• Release Date: August 1987
• Publisher: Springer
• Length: 208 Pages
• Weight: 0.80 lbs.
• Dimensions: 0.5" x 6.7" x 9.6"