We start by introducing some notation. We conform to the usual practice of identifying the least infinite ordinal o with the set of non-negative integers. Given a; b4o; a partition of a into b blocks is an onto function X : a ! b such that minΓ°X Γ1 Γ°fngΓΓominΓ°X Γ1 Γ°fmgΓΓ whenever nomob: Thus, the b
β¦ LIBER β¦
Recent trends in Euclidean Ramsey theory
β Scribed by R.L. Graham
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 415 KB
- Volume
- 136
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
We give a brief summary of several new results in Euclidean Ramsey theory, a subject which typically investigates properties of configurations in Euclidean space which are preserved under finite partitions of the space.
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