Bounds on the k-dimension of Products of Special Posets
Trotter conjectured that dimP×Q≥dimP+dimQ−2 for all posets P and Q. To shed light on this, we study the k-dimension of products of finite orders. For k ∈ o(ln n), the value 2dimk(P)−dimk(P×P) is unbounded when P is an n-element antichain, and 2dim2(mP)−dim2(mP×mP) is unbounded when P is a fixed pose...
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| 格式: | 文件 |
| 语言: | en_US |
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Springer Science+Business Media
2014
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| 在线阅读: | http://hdl.handle.net/1721.1/85844 https://orcid.org/0000-0003-1303-5598 |