Axiom of choice and chromatic number of the plane
نویسندگان
چکیده
1950 the 18-year old Edward Nelson posed the problem of finding χ (see its history in [S]). A number of relevant results were obtained under additional restrictions on monochromatic sets. K. Falconer, for example, showed [F] that χ is at least 5 if monochromatic sets are Lebesgue measurable. Amazingly though, the problem has withstood all assaults in general case, leaving us with embarrassingly wide range for χ being 4, 5, 6 or 7.
منابع مشابه
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ورودعنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 103 شماره
صفحات -
تاریخ انتشار 2003