Who, and based on what attributes, had access to public space in Ancient Rome?

Who, and based on what attributes, had access to public space in Ancient Rome? In your discussion, explore concepts of public (publicus) and private (privatus) space in Ancient Rome, and address to what extent women had access to public spaces.
For references:
Amy Russell, The Politics of Public Space in Republican Rome. Cambridge, 2016, pp. 1-42.
Monika Trümper, ‘Gender and Space, “Public” and “Private”’, in: S. James and S. Dillon (eds.), A Companion to Women in the Ancient World, Chichester, 2012, pp. 288-303.