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


Imbedding posets in the integers
Authors:D K Skilton
Institution:(1) Department of Mathematics and Statistics, Simon Fraser University, V5A 1S6 Burnaby, B. C., Canada
Abstract:An imbedding of a poset P in the integers is a one-to-one order presevring map from P into the integers. Such a map always exists when P is finite and, moreover, certain imbeddings of subsets of finite P can be extended to imbeddings of the whole of P. D. E. Daykin has asked when an imbedding in the integers of a finite subset of a countable poset can be extended to the whole poset. This paper answers Daykin's question and some related questions.
Keywords:06A10
本文献已被 SpringerLink 等数据库收录!
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