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Lajos Huse & Peter Takacs (ed.) (2015): Quality of Life Nyiregyhaza District 2015. Acta Medicinae Et Sociologica Vol. 6. No. 18- 19. the University of Debrecen Health Faculty, Nyiregyhaza.
A half-space approach to order dimension
The aim of the present paper is to investigate the half-spaces in the
convexity structure of all quasiorders on a given set and to use them in an
alternative approach to classical order dimension. The main result states that
linear orders can almost always be replaced by half-space quasiorders in the
definition of the dimension of a partially ordered set.Comment: 13 page
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