automatic continuity
Recently Published Documents


TOTAL DOCUMENTS

164
(FIVE YEARS 2)

H-INDEX

13
(FIVE YEARS 0)

2020 ◽  
Vol 237 (1) ◽  
pp. 267-285 ◽  
Author(s):  
Samuel M. Corson

2019 ◽  
Vol 11 (2) ◽  
pp. 442-452
Author(s):  
A. Ravsky

We present a few results related to separation axioms and automatic continuity of operations in compact-like semitopological groups. In particular, is provided a semiregular semitopological group $G$ which is not $T_3$. We show that each weakly semiregular compact semitopological group is a topological group. On the other hand, constructed examples of quasiregular $T_1$ compact and $T_2$ sequentially compact quasitopological groups, which are not paratopological groups. Also we prove that a semitopological group $(G,\tau)$ is a topological group provided there exists a Hausdorff topology $\sigma\supset\tau$ on $G$ such that $(G,\sigma)$ is a precompact topological group and $(G,\tau)$ is weakly semiregular or $(G,\sigma)$ is a feebly compact paratopological group and $(G,\tau)$ is $T_3$.


2019 ◽  
Vol 346 ◽  
pp. 124-169 ◽  
Author(s):  
Philip A. Dowerk ◽  
Andreas Thom
Keyword(s):  

Sign in / Sign up

Export Citation Format

Share Document