Should sports men and women be paid equally?

If we think about the history of sports, for example in football, sportsmen tended to have far more money invested in them, enabling better training and therefore more audiences wanting to watch such skill. Women, on the other hand, tended to have less money invested, and therefore less training and audiences (apart from exceptions such as Dick Kerr’s female footballers which had huge audiences but were subsequently banned from playing on League grounds by the FA).

What does less prize money for women tell women about their involvement in sports?