本刊英文版2018年61卷第12期摘要（英文）

Perfect subspaces of quadratic laminations Alexander Blokh,Lex Oversteegen & Vladlen Timorin Abstract The combinatorial Mandelbrot set is a continuum in the plane,whose boundary is defined as the quotient space of the unit circle by an explicit equivalence relation.This equivalence relation was described by Douady (1984)and,separately,by Thurston (1985)who used quadratic invaxiant geolaminations as a major tool. We showed earlier that the combinatorial Mandelbrot set can be interpreted as a quotient of the space of all limit quadratic invariant geolaminations with the Hausdorff distance topology.In this paper,we describe two similar quotients.In the first case,the identifications are the same but the space is smaller than that used for the Mandelbrot set.