On invariant inclusion hyperspaces for iterated function systems |
|
| Author |
topos@franko.lviv.ua
Faculty of Mechanics and Mathematics, Lviv National University
|
| Abstract |
A notion of invariant set of an iterated function
systems is considered for the
inclusion hyperspaces. It is shown that the open set condition is sufficient
for
the preservation of supports by the operation of passing to the invariant
element of an iterated function system.
|
| Keywords |
invariant set, iterated function systems, inclusion hyperspaces, open set condition, preservation of supports, passing to the invariant element
|
| DOI |
doi:10.30970/ms.17.2.211-214
|
Reference |
1. Falconer K. I. The geometry of fractal sets, Cambridge University Press, 1985.
2. Curtis D. W. Growth hyperspaces of Peano continua, Trans. Amer. Math. Soc. 238 (1978), 271–283. 3. Моисеев Е. В. Пространства замкнутых гиперпространств роста и включения. Вестник Моск. ун-та. Сер. I Мат. Mех. (1988), , № 3, 54–57; translation in Moscow Univ. Math. Bull. 43 (1988), no. 3, 48–51. 4. Мирзаканян Р. Е. Бесконечная итерация функтора гиперпространства, Вестник Моск. ун-та. Сер. I Мат. Mех. (1988), № 6, 14–17, 93; translation in Moscow Univ. Math. Bull. 43 (1988), no. 6, 15–19. 5. Teleiko A., Zarichnyi M. Categorical topology of compact Hausdorff spaces. Mathematical Studies Monograph Series, 5. VNTL Publishers, Lviv, 1999. 263 pp. |
| Pages |
211-214
|
| Volume |
17
|
| Issue |
2
|
| Year |
2002
|
| Journal |
Matematychni Studii
|
| Full text of paper | |
| Table of content of issue |