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An infinite family of Petersen geometries with nonlinear diagram

✍ Scribed by Philippe Cara

Publisher
Springer
Year
2000
Tongue
English
Weight
945 KB
Volume
67
Category
Article
ISSN
0047-2468

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✍ Jonathan David Farley; Stefan E. Schmidt πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 335 KB

Let P be a graded poset with 0 and 1 and rank at least 3. Assume that every rank 3 interval is a distributive lattice and that, for every interval of rank at least 4, the interval minus its endpoints is connected. It is shown that P is a distributive lattice, thus resolving an issue raised by Stanle