The number of non-solutions to an equation in a group and non-topologizable torsion-free groups

Details The number of non-solutions to an equation in a group and non-topologizable torsion-free groups The number of non-solutions to an equation in a group and non-topologizable torsion-free groups

2004-11-07

arxiv.org/abs/math/0411156v2

Journal of Group Theory, Volume: 8 (2005), Issue: 6 Pages: 747-754 (under the title "The number of non-solutions of an equatio

Mathematics

Group Theory

5 pages; minor changes in the introduction and references

Scientific paper

10.1515/jgth.2005.8.6.747

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.

Affiliated with

Also associated with

No associations

Rating

The number of non-solutions to an equation in a group and non-topologizable torsion-free groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The number of non-solutions to an equation in a group and non-topologizable torsion-free groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The number of non-solutions to an equation in a group and non-topologizable torsion-free groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-109466