Dmitri Shakhmatov, Alexander Shibakov
Published 2019-03-19Version 1
We use $\diamondsuit$ to construct, for every $\alpha\leq\omega_1$ a sequential countably compact topological group of sequential order $\alpha$. This establishes the independence of the existence of sequential countably compact non Fr\'echet groups from the usual axioms of ZFC and answers several questions of D.~Shakhmatov.
Sequential order under CH
Countably compact groups without non-trivial convergent sequences
A van Douwen-like ZFC theorem for small powers of countably compact groups without non-trivial convergent sequences
![QR code for arXiv:1903.08041 [math.GN]](http://oss.arxitics.com/images/favicon.svg)