首页 | 本学科首页   官方微博 | 高级检索  
     


A weird relation between two cardinals
Authors:Lorenz Halbeisen
Affiliation:1.Department of Mathematics,ETH Zentrum,Zürich,Switzerland
Abstract:For a set M, let ({text {seq}}(M)) denote the set of all finite sequences which can be formed with elements of M, and let ([M]^2) denote the set of all 2-element subsets of M. Furthermore, for a set A, let Open image in new window /></a> </span> denote the cardinality of <em class=A. It will be shown that the following statement is consistent with Zermelo–Fraenkel Set Theory (textsf {ZF}): There exists a set M such that Open image in new window /></a> </span> and no function <span class= Open image in new window /></a> </span> is finite-to-one.</td>
		  </tr> 
		  <tr>
		   <td align=
Keywords:
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