# Definition of a Kolmogorov Space

1. Jun 22, 2010

### seanhbailey

1. The problem statement, all variables and given/known data
Can a $$T_{0}$$ topological space be created from the indiscrete topology of a set with only one element?

2. Jun 22, 2010

### Office_Shredder

Staff Emeritus
Look at the definition of two being T0. What are the minimum number of points the space has to have to fail that condition?