Sorted list of heavyweight boxers of all times.

My criteria in compiling this list is not fame, glory, historical impact on public opinion or financial success.
My criteria is solely based on how fighters perform, against whom and on the circumstances.
In compiling this list, I accounted for everything I know about each one of the fights I know about.
Things such as age and health conditions during each fight.
Cheating by one or both parties, including their teams, managements, promoters.
And so on.
Disagreements without posting an alternative do not deserve discussion, because dissing of a list without having an alternative and commitment to exposing it is trolling.
My list is based on a head-to-head criteria, with speculation about hypothetical fights between fighters that could not happen, or did not happen, plays a secondary role, but even my speculation is based on facts that happened and basic physical knowledge.
The list is:

1. Tony Tucker

2. Oliver McCall

3. Evander Holyfield

4. George Foreman

5. David Tua

6. Mike Tyson

7. Nikolay Valuev

8. Vitali Klitschko

9. James Smith

10. James Douglas

11. Larry Holmes

12. Ikemefula Ibeabuchi

13. Tim Witherspoon

14. Lennox Lewis

15. Riddick Bowe

16. Lamon Brewster

17. Ross Puritty

18. Corrie Sanders

19. Wladimir Klitschko

20. Jameel McCline

21. Joe Louis

22. Muhammad Ali

23. Marion Wilson

24. David Haye

25. Dominick Guinn

26. Sultan Ibragimov

27. Mark Wills

28. Jesse Fergusson

29. David Bey

30. Renaldo Snipes

31. Greg Page

32. Tony Tubbs

33. Jose Ribalta

34. Mitch Green

35. Bert Cooper

36. Orlin Norris

37. Chris Byrd

38. Ron Lyle

39. Earnie Shavers

40. Jimmy Young

41. Joe Frazier

42. Charles Liston

43. Michael Grant

44. Lance Whitaker

45. Ken Norton

46. Alfred Cole

47. Nate Miller

48. Kirk Johnson

49. Nate Tubbs

50. Gary Bell

51. Oleg Maskaev

52. Hasim Rahman

53. Robert Hawkins