A. H. Tomita

activity

20142026

most citedA van Douwen-like ZFC theorem for small powers of countably compact groups without non-trivial convergent sequences

13 citations · 35 across the 19 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.GN2021

Some pseudocompact-like properties in certain topological groups

Artur Hideyuki Tomita, Juliane Trianon-Fraga

We construct in ZFC a countably compact group without non-trivial convergent sequences of size $2^{c}$ , answering a question of Bellini, Rodrigues and Tomita. We also co…

math.LO2021★ 1 cited

Countably compact group topologies on arbitrarily large free Abelian groups

M. K. Bellini, K. P. Hart, V. O. Rodrigues +1

We prove that if there are $c$ incomparable selective ultrafilters then, for every infinite cardinal $κ$ such that $κ^{ω} = κ$ , there exists a group topology on the free Abel…