Filtrations

Michael Shub
Additional contact information
Michael Shub: IBM, Thomas J. Watson Research Center

Chapter Chapter 2 in Global Stability of Dynamical Systems, 1987, pp 8-12 from Springer

Abstract: Abstract One way to understand the recurrence of a homeomorphism is to try to build up the underlying manifold from simpler pieces, each of which isolates and asymptotically specifies an invariant set. With this in mind we make several definitions. Given a homeomorphism f, of M, a filtration M adapted to f is a nested sequence Ø = M 0 ⊂ M 1 ⊂ ··· ⊂ M k = M of smooth, compact codimension 0 submanifolds with boundary of M, such that f(M i ), ⊂ Int M i .

Keywords: Limit Point; Disjoint Union; Global Stability; Compact Neighborhood; Nest Sequence (search for similar items in EconPapers)
Date: 1987
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4757-1947-5_2

Ordering information: This item can be ordered from
http://www.springer.com/9781475719475

DOI: 10.1007/978-1-4757-1947-5_2

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().