Basic Topological Structure of Fast Basins
Michael Fielding Barnsley, Krzysztof Lesniak
TL;DR
This paper introduces the concepts of fractal continuations and fast basins within iterated function systems (IFS), exploring their properties and providing illustrative examples to understand their topological structure.
Contribution
It defines the notions of fractal continuations and fast basins for IFS and investigates their inherited properties from attractors, with illustrative examples.
Findings
Identified properties inherited by fast basins from attractors
Provided examples illustrating the topological structure of fast basins
Extended understanding of fractal continuations in IFS
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.
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