Generic partial two-point sets are extendable

被引:2
作者
Dijkstra, JJ [1 ]
机构
[1] Univ Alabama, Dept Math, Tuscaloosa, AL 35487 USA
来源
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 1999年 / 42卷 / 01期
关键词
D O I
10.4153/CMB-1999-005-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
It is shown that under ZFC almost all planar compacts that meet every line in at most two points are subsets of sets that meet every line in exactly two points. This result was previously obtained by the author jointly with K. Kunen and J. van Mill under the assumption that Martin's Axiom is valid.
引用
收藏
页码:46 / 51
页数:6
相关论文
共 4 条
[1]  
[Anonymous], TRAVEAUX TOPOLOGIE S
[2]   Two point set extensions - A counterexample [J].
Dijkstra, JJ ;
VanMill, J .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (08) :2501-2502
[3]  
Dijkstra JJ, 1998, FUND MATH, V157, P43
[4]  
Mazurkiewicz S., 1914, C. R. Varsovie, V7, P382