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A Partial Description of the Parameter Space of Rational Maps of Degree Two, Part 2
Author(s) -
Rees Mary
Publication year - 1995
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/s3-70.3.644
Subject(s) - degree (music) , mathematics , boundary (topology) , mathematical proof , space (punctuation) , point (geometry) , pure mathematics , variation (astronomy) , mathematical analysis , geometry , computer science , physics , acoustics , astrophysics , operating system
This paper continues the investigation of a combinatorial model for the variation of dynamics in the family of rational maps of degree two, by concentrating on those varieties in which one critical point is periodic. We prove some general results about non‐rational critically finite degree‐two branched coverings, and finally identify the boundary of the rational maps in the combinatorial model, thus completing the proofs of the results announced in Part 1.