Basic topological structure of fast basins

Barnsley, Michael; Lesniak, Krzysztof; Rypka, Miroslav

Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

Basic topological structure of fast basins

Date

2018

Authors

Barnsley, Michael

Lesniak, Krzysztof

Rypka, Miroslav

Publisher

World Scientific Publishing Company

Abstract

We define fractal continuations and the fast basin of the IFS and investigate which properties they inherit from the attractor. Some illustrated examples are provided.