Countable Dense Homogeneous Rimcompact Spaces and Local Connectivity

被引:2
作者
van Mill, Jan [1 ]
机构
[1] Univ Amsterdam, KdV Inst Math, NL-1098 GE Amsterdam, Netherlands
关键词
Countable dense homogeneous; rim-compact; locally connected; SETS;
D O I
10.2298/FIL1501179M
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove that every nonmeager connected Countable Dense Homogeneous space is locally connected under some additional mild connectivity assumption. As a corollary we obtain that every Countable Dense Homogeneous connected rimcompact space is locally connected.
引用
收藏
页码:179 / 182
页数:4
相关论文
共 12 条
[1]  
Aarts J.M., 1993, N HOLLAND MATH LIB, V48
[2]  
Arhangelskii A. V., 2014, RECENT PROGR GEN TOP, VIII, DOI [10.2991/978-94-6239-024-91, DOI 10.2991/978-94-6239-024-91]
[3]  
Bennett R., 1972, Fund. Math, V74, P189
[4]   The dimension of the rational points in Hilbert space [J].
Erdos, P .
ANNALS OF MATHEMATICS, 1940, 41 :734-736
[5]   A countable dense homogeneous set of reals of size N1 [J].
Farah, I ;
Hrusák, M ;
Ranero, CAM .
FUNDAMENTA MATHEMATICAE, 2005, 186 (01) :71-77
[6]   COUNTABLE DENSE HOMOGENEITY AND THE BAIRE PROPERTY [J].
FITZPATRICK, B ;
ZHOU, HX .
TOPOLOGY AND ITS APPLICATIONS, 1992, 43 (01) :1-14
[7]  
Fitzpatrick Jr B., 1972, FUND MATH, V75, P33
[8]   Countable dense homogeneity and λ-sets [J].
Hernandez-Gutierrez, Rodrigo ;
Hrusak, Michael ;
van Mill, Jan .
FUNDAMENTA MATHEMATICAE, 2014, 226 (02) :157-172
[9]   Countable dense homogeneity of definable spaces [J].
Hrusák, M ;
Avilés, BZ .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 133 (11) :3429-3435
[10]   HOMEOMORPHISMS OF MANIFOLDS WITH PRESCRIBED BEHAVIOR ON LARGE DENSE SETS [J].
STEPRANS, J ;
WATSON, WS .
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1987, 19 :305-310