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A universal Ribbon Surface in B 4
Author(s) -
Piergallini R.,
Zuddas D.
Publication year - 2005
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/s0024611504015072
Subject(s) - ribbon , mathematics , surface (topology) , cover (algebra) , construct (python library) , decomposition , pure mathematics , combinatorics , geometry , computer science , chemistry , mechanical engineering , organic chemistry , engineering , programming language
We construct an orientable ribbon surface F ⊂ B 4 which is universal in the following sense: any orientable 4‐manifold M ≅ B 4 ∪ 1‐handles ∪ 2‐handles can be represented as a cover of B 4 branched over F . 2000 Mathematics Subject Classification 57M12, 57N13, 57Q45.