There is an anti-Ramsey theorem for inhomogeneous linear equations over a field, which is essentially due to R. Rado [2]. This theorem is generalized to groups to get sharper quantitative and ...

I have a new theory. I should point out that it is not a theorem. You may wonder what the difference between a theory and a theorem is. You probably don't wonder, but just in case you do I am going to ...

We prove an asymptotic analog of the classical Hurewicz theorem on mappings that lower dimension. This theorem allows us to find sharp upper bound estimates for the asymptotic dimension of groups ...