关于Quarter可层化空间

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冯自勤¹,R.W.Heath²

1. 山东大学数学与系统科学学院，山东济南250100；2. Department of Mathematics Pittsburgh University, Pittsburgh Pennsylvania 15260

FENG Zi-qin¹,R.W.Heath²

1. School of Math. and System Sci., Shandong Univ., Jinan 250100, Shandong, China；2. Department of Mathematics Pittsburgh University, Pittsburgh 15260, Pennsylvania, U.S.A

Received:2006-01-03 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: FENG Zi-qin

摘要： 对第二纲的仿紧Quarter可层化空间进行了研究，证明了这类空间含有σ闭离散的稠密子集. 同时给出了实数集的子集是消去拓扑半群，但是不是Quarter可层化空间.

关键词: Quarter可层化空间, 仿紧空间, 仿拓扑群 , Hamel基, 消去半群, σ闭离散的稠密子集

Key words: paratopological group , Hamel basis, semigroup, σcloseddiscrete dense subset, paracompact spaces, Quarterstratifiable space

冯自勤,R.W.Heath . 关于Quarter可层化空间[J]. J4, 2006, 41(5): 1-03 .

FENG Zi-qin,R.W.Heath . About Quarterstratifiable space[J]. J4, 2006, 41(5): 1-03 .

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