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作者：Hyde, James
摘要：A left-order on a group G is a total order < on G such that for any f, g and h in G we have f < g double left right arrow hf < hg. We construct a finitely generated subgroup H of Homeo(I-2; delta I-2), the group of those homeomorphisms of the disc that fix the boundary pointwise, and show H does not admit a left-order. Since any left-order on Homeo(I-2; delta I-2) would restrict to a left-order on H, this shows that Homeo(I-2; delta I-2) does not admit a left-order. Since Homeo(I; delta I) adm...
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作者：Yun, Zhiwei; Zhang, Wei
摘要：For arithmetic applications, we extend and refine our previously published results to allow ramifications in a minimal way. Starting with a possibly ramified quadratic extension F'/F of function fields over a finite field in odd characteristic, and a finite set of places Sigma of F that are unramified in F', we define a collection of Heegner-Drinfeld cycles on the moduli stack of PGL(2)-Shtukas with r-modifications and Iwahori level structures at places of Sigma. For a cuspidal automorphic rep...
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作者：Shitov, Yaroslav
摘要：The chromatic number of G x H can be less than the minimum of the chromatic numbers of finite simple graphs G and H.
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作者：Goldstern, Martin; Kellner, Jakob; Shelah, Saharon
摘要：Assuming four strongly compact cardinals, it is consistent that all entries in Cichon's diagram (apart from add(M) and cof(M), whose values are determined by the others) are pairwise different; more specifically, aleph(1) < add(N) < cov(N) < b < non(M) < cov(M) < partial derivative < non(N) < cof(N) < 2(aleph 0).
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作者：Varju, Peter P.
摘要：The Bernoulli convolution nu(lambda) with parameter lambda is an element of (0, 1) is the probability measure supported on R that is the law of the random variable Sigma +/-lambda(n), where the +/- are independent fair coin-tosses. We prove that dim nu(lambda) = 1 for all transcendental lambda is an element of (1/2, 1).
