Foldes, Stephan and Szigeti, Jenő (2007) A half-space approach to order dimension. ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 24 (1). pp. 59-73. ISSN 0167-8094
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Abstract
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.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 28 Jul 2014 12:06 |
| Last Modified: | 28 Jul 2014 12:22 |
| URI: | http://real.mtak.hu/id/eprint/13953 |
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