On Galvin's theorem for compact Hausdorff right-topological semigroups with dense topological centers
On Galvin's theorem for compact Hausdorff right-topological semigroups with dense topological centers作者机构：Department of Mathematics Nanjing University Department of Mathematics Fuzhou University
出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)
年 卷 期：2017年第60卷第12期
页 面：2421-2428页
核心收录：
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金：supported by National Natural Science Foundation of China (Grant Nos. 11431012 and 11271183) PAPD of Jiangsu Higher Education Institutions
主 题：Galvin’s theorem transformation semigroup Ellis’ semigroup distal point
摘 要：We generalize an important theorem of Fred Galvin from the Stone-Cˇech compactification βT of any discrete semigroup T to any compact Hausdorff right-topological semigroup with a dense topological center;and then apply it to Ellis semigroups to prove that a point is distal if and only if it is IP*-recurrent, for any semiflow(T, X) with arbitrary compact Hausdorff phase space X not necessarily metrizable and with arbitrary phase semigroup T not necessarily cancelable.
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