On Galvin's theorem for compact Hausdorff right-topological semigroups with dense topological centers

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2017,（12）
• 页码范围: 2421-2428
• 页数: 8页
• 语种: 英文
• DOI: 10.1007/s11425-016-9139-1

摘要

We generalize an important theorem of Fred Galvin from the Stone-(C)ech 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.