scholarly journals A note on an effective Polish topology and Silver’s dichotomy theorem

2019 ◽  
Vol 147 (9) ◽  
pp. 4039-4044 ◽  
Author(s):  
Ramez L. Sami
Keyword(s):  



2020 ◽  
Vol 34 (1) ◽  
pp. 586-596
Author(s):  
Kevin G. Milans ◽  
Michael C. Wigal
Keyword(s):  


2017 ◽  
Vol 42 (1) ◽  
pp. 167
Author(s):  
Farmaki ◽  
Mitropoulos
Keyword(s):  


2013 ◽  
Vol 88 (2) ◽  
pp. 301-308 ◽  
Author(s):  
LI-HONG XIE ◽  
SHOU LIN

AbstractIt is proved that every remainder of a nonlocally compact semitopological group $G$ is a Baire space if and only if $G$ is not Čech-complete, which improves a dichotomy theorem of topological groups by Arhangel’skiǐ [‘The Baire property in remainders of topological groups and other results’, Comment. Math. Univ. Carolin. 50(2) (2009), 273–279], and also gives a positive answer to a question of Lin and Lin [‘About remainders in compactifications of paratopological groups’, ArXiv: 1106.3836v1 [Math. GN] 20 June 2011]. We also show that for a nonlocally compact rectifiable space $G$ every remainder of $G$ is either Baire, or meagre and Lindelöf.



1992 ◽  
Vol 211 (1) ◽  
pp. 247-263 ◽  
Author(s):  
Gunter Ritter ◽  
Edwin Hewitt
Keyword(s):  




2020 ◽  
Vol 279 ◽  
pp. 107252
Author(s):  
Hyonhui Ju ◽  
Jinhyon Kim ◽  
Songhun Ri ◽  
Peter Raith
Keyword(s):  






Sign in / Sign up

Export Citation Format

Share Document