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ω1 and −ω1 May Be the Only Minimal Uncountable Linear Orders
ω1 and − ω1 May Only Minimal Uncountable Linear Orders
2015/8/17
In 1971 Laver proved the following result, confirming a long-standing conjecture of Fraïssé. Theorem 1.1 [10]. If Li (i < ω) is a sequence of σ-scattered linear orders, then there exist i < j suc...
On minimal colorings without monochromatic solutions to a linear equation
minimal colorings without monochromatic solutions linear equation
2010/12/9
For a ring R and system L of linear homogeneous equations, we call a coloring of the nonzero
elements of R minimal for L if there are no monochromatic solutions to L and the coloring uses as few colo...
Double scaling limits of random matrices and minimal (2m,1) models: the merging of two cuts in a degenerate case
Double scaling limits minimal (2m,1) models random matrices
2010/4/2
In this article, we show that the double scaling limit correlation functions of a random matrix model when two cuts merge with degeneracy $2m$ (i.e. when $y\sim x^{2m}$ for arbitrary values of the int...
LINEAR COMPLEXITY AND THE MINIMAL POLYNOMIAL OF LINEAR RECURRING SEQUENCES OVER Z/(m)
Linear complexity over Z/(m) uniqueness
2007/8/7
In this note we discuss the annihilating properties of sequences over Z/(m). By considering the linear complexity and the annihilator structure, we derive the uniqueness condition for the minimal poly...