What was implied by the decision in brown v. Board of education?

It implied that segregation was not acceptable in any public facility.

Explanation:

The Brown v Board of Education case origined in 1951, when the daughter of Oliver Brown was not granted access to the school closest to their home in a city in Kansas, requiring to take the bus to go to a segregated school farter away.

Brown entered with the case and won, which paved the way for integration in American schools, since the Supreme Court stated that the state may not apply rules differently to any person within its juridiction, that is, everyone must be treated the same. This was a case in Topeka, Kansas, but implied that segregation was not acceptable in any other public facilities.