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Note on Critical Points and Betti Numbers
Author(s) -
Nusimovici M.
Publication year - 1966
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.19660140105
Subject(s) - betti number , brillouin zone , mathematics , topology (electrical circuits) , binomial (polynomial) , combinatorics , discrete mathematics , physics , statistics , condensed matter physics
The number of van Hove critical points in the Brillouin zone of a crystal is at least equal to one of the Betti numbers defined in topology [1]. In this paper these numbers are shown to be equal to the binomial coefficients.