A Wallace semigroup whose every finite power is countably compact

Autor:	Fuentes-Maguiña, Juan Luis Jaisuño, Rodrigues, Vinicius de Oliveira, Tomita, Artur Hideyuki
Rok vydání:	2024
Předmět:	Mathematics - General Topology Mathematics - Logic Primary 54D20 54H11 22A15 Secondary 54A35 54G20
Druh dokumentu:	Working Paper
Popis:	We show that, assuming the existence of $\mathfrak{c}$ incomparable selective ultrafilters, there exists a Wallace semigroup whose infinite countable power is the least power which fails to be countably compact. This answers positively Question 9.4 of \cite{Tomita15}. Comment: Some typos fixed
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2403.00205 Zobrazit plný text záznamu View this record from Arxiv