Christopher columbus' voyage ushered in a period of european colonization during which three countries began to fight for control of north america. which three countries were fighting?

I believe that the three countries which were fighting for control over North America were England, Spain, and France.

All of these countries wanted to have a piece of this new continent they accidentally discovered. Somehow, France got the northern parts (Canada especially), Spain got the southern parts (especially Mexico), and England got the middle.