There are uncountably many distinct inverse limit spaces that can be formed with unimodal maps as bonding maps. 0 1998 Elsevier Science B.V.
On inverse limit stability for maps
โ Scribed by Juergen Quandt
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 1018 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
For an arbitrary C r unimodal map f , its inverse limit space X is embedded in a planar region W in such a way that the induced homeomorphism f : X โ X conjugates to a Lipschitz map g : A โ W โ A. Furthermore g can be extended, in a C r manner, to the rest of W . In the course of the proof a charact
Let I be a closed interval and f : I -I be continuous. We investigate the structure of the inverse limit space lim{l. j'} which contains no indecomposable subcontinuum. In particular, we show that the set of nondegenerate maximal nowhere dense subcontinua of lim{l, f} is finite if f is piecewise mon