| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] IME USP, Dept Matemat Aplicada, Rua Matao 1010, Cidade Univ, BR-05508090 Sao Paulo, SP - Brazil
[2] AGH Univ Sci & Technol, Fac Appl Math, Mickiewicza 30, PL-30059 Krakow - Poland
[3] Univ Ostrava, Natl Supercomp Ctr, Div IT4Innovat, Inst Res & Applicat Fuzzy Modeling, 30 Dubna 22, Ostrava 70103 - Czech Republic
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | FUNDAMENTA MATHEMATICAE; v. 254, n. 1, p. 69-98, 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
We study a class of chainable continua which contains all inverse limit spaces generated by a single interval bonding map which is piecewise monotone and locally eventually onto. Such spaces are realized as attractors of non-hyperbolic surface homeomorphisms. Using dynamical properties of the bonding map, we give conditions for existence of endpoints, characterize the set of local inhomogeneities, and determine when it consists only of endpoints. As a by-product we also obtain a characterization of arcs as inverse limits for piecewise monotone bonding maps, which is interesting in its own right. (AU) | |
| FAPESP's process: | 18/17585-5 - Topological structure of Lozi attractors |
| Grantee: | Ana Anusic |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |