The proof of the removable pair conjecture for fractional dimension. (Q405169)
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scientific article; zbMATH DE number 6340161
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The proof of the removable pair conjecture for fractional dimension. |
scientific article; zbMATH DE number 6340161 |
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The proof of the removable pair conjecture for fractional dimension. (English)
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4 September 2014
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Summary: In 1971 Trotter (or Bogart and Trotter) conjectured that every finite poset on at least 3 points has a pair whose removal does not decrease the dimension by more than 1. In 1992 \textit{G. R. Brightwell} and \textit{E. R. Scheinerman} introduced fractional dimension of posets [Order 9, No. 2, 139-158 (1992; Zbl 0773.06001)], and they made a similar conjecture for fractional dimension. This paper settles this latter conjecture.
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finite posets
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removable pair conjecture
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fractional dimension
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