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On Betti Numbers of Complement of Hyperplanes
Author(s) -
Hiroaki Terao
Publication year - 1981
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1195185267
Subject(s) - hyperplane , mathematics , betti number , combinatorics , complement (music) , discrete mathematics , chemistry , biochemistry , complementation , gene , phenotype
H^0.Recall the following(1.1) Definition. The Mobius function JK: L(X)-+Z is inductively definedbywhere 0 stands for the ambient space (the minimal element in L(XJ).By r(s) we denote the length of the longest chain in L(X) below s (s eIn this article we call a non-void finite family of hyperplanes in C"

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