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Tube Representations of Ordered Sets |
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| Authors: | |
| Institution: | (1) Department of Mathematics, Colorado College, 14 E. Cache La Poudre St., Colorado Springs, CO 80903, USA |
| Abstract: | We define the (n,i,f)-tube orders, which include interval orders, trapezoid orders, triangle orders, weak orders, order dimension n, and interval-order-dimension n as special cases. We investigate some basic properties of (n,i,f)-tube orders, and begin classifying them by containment. Mathematics Subject Classifications (2000) 06A06, 05C62. |
| Keywords: | trapezoid order triangle order free triangle order |
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