首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Products with linear and countable type factors
Authors:S Purisch  M E Rudin
Institution:Department of Mathematics, Barry University, Miami Shores, Florida 33161

M. E. Rudin ; Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706

Abstract:The basic theorem presented shows that the product of a linearly ordered space and a countable (regular) space is normal. We prove that the countable space can be replaced by any of a rather large class of countably tight spaces. Examples are given to prove that monotone normality cannot replace linearly ordered in the base theorem. However, it is shown that the product of a monotonically normal space and a monotonically normal countable space is normal.

Keywords:Linearly ordered  countable  monotonically normal  product
点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号