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→连通性 Local connectivity
'''让-克里斯托夫·约科兹 Jean-Christophe Yoccoz'''证明了在所有有限可重整化参数下的曼德布洛特集的局部连通性; 也就是说，该种局部连通性只体现在有限多个小曼德布洛特集副本中。 <ref name="yoccoz">{{citation
'''让-克里斯托夫·约科兹 Jean-Christophe Yoccoz'''证明了在所有有限可重整化参数下的曼德布洛特集的局部连通性; 也就是说，该种局部连通性只体现在有限多个小曼德布洛特集副本中。<ref name="yoccoz">{{citation
| last = Hubbard | first = J. H.
| last = Hubbard | first = J. H.
| contribution = Local connectivity of Julia sets and bifurcation loci: three theorems of J.-C. Yoccoz
| contribution = Local connectivity of Julia sets and bifurcation loci: three theorems of J.-C. Yoccoz
| publisher = Publish or Perish
| publisher = Publish or Perish
| title = Topological methods in modern mathematics (Stony Brook, NY, 1991)
| title = Topological methods in modern mathematics (Stony Brook, NY, 1991)
| year = 1993}}从那时起，在曼德布洛特集的其他参数点也体现了局部连通性。
| year = 1993}}. Hubbard cites as his source a 1989 unpublished manuscript of Yoccoz.</ref> 从那时起，在曼德布洛特集的其他参数点也体现了局部连通性。
===自相似 Self-similarity===
===自相似 Self-similarity===