The number of non-solutions to an equation in a group and non-topologizable torsion-free groups
classification
🧮 math.GR
math.GN
keywords
equationgroupnumbercardinalnon-solutionsnon-topologizabletorsion-freecardinals
read the original abstract
It is shown that, for any pair of cardinals with infinite sum, there exist a group and an equation over this group such that the first cardinal is the number of solutions to this equation and the second cardinal is the number of non-solutions to this equation. A countable torsion-free non-topologizable group is constructed.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.