2-Dimension from the Topological Viewpoint

In this paper we study the 2-dimension of a finite poset from the topological point of view. We use homotopy theory of finite topological spaces and the concept of a beat point to improve the classical results on 2-dimension, giving a more complete answer to the problem of all possible 2-dimensions of an n-point poset. 2000 Mathematics Subject Classification. 06A06, 06A07, 54A10, 54H99. Key words and phrases. Posets, Finite Topological Spaces, 2-dimension.

• Type: Journal
• Year: 2007
• Where: ORDER
• Authors: Jonathan Ariel Barmak, Elias Gabriel Minian
• Keywords: 2-dimension, ORDER 2007, Topological Spaces, finite Topological Spaces