Any d≥3 pairwise-disjoint open sets in the extended complex plane sharing a common boundary J can be simultaneously approximated by the attracting basins of a rational map r with Fatou set exactly those basins and Julia set approximating J.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DS 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Simultaneous Approximation by Attracting Basins
Any d≥3 pairwise-disjoint open sets in the extended complex plane sharing a common boundary J can be simultaneously approximated by the attracting basins of a rational map r with Fatou set exactly those basins and Julia set approximating J.