Final answer:
Brasília's design, featuring Centralized government buildings, was meant to reflect the egalitarian vision demonstrating democratic values and accessibility, eschewing the traditional segregated spaces indicative of inequality.
Step-by-step explanation:
The characteristic of Brasília's initial design that reflected the egalitarian vision of Brazil's then-socialist government is Centralized government buildings. Designed by architect Oscar Niemeyer, Brasília was planned as a symbol of Brazil's national development and progress. Unlike traditional cities that emerged organically, Brasília's layout was meticulously planned to incorporate modernist principles, with all branches and wings of the government being accessible from the city center. The goal was to reflect an open and egalitarian society, hence large open spaces and the absence of traditional high-end residential areas, economic centers, or segregated public spaces, that are associated with inequality. Niemeyer's vision was to create a cityscape that embodied democratic values and served functional purposes rather than hierarchical grandeur, as was commonly seen in the past.