so what do you think the word gentrification means
The pricing out of the poor (generally people of color, in the city center of an urban area), by affluent, generally young White urban professionals.
Examples: NYC, especially Brooklyn (Bed-Stuy, DUMBO) LA/SF especially in what were once dangerous areas, Silicon Valley, Seattle, Chicago in some areas, etc.
Places that people say its happening where it isn't: New Orleans, Atlanta, Houston, Dallas, Austin, Columbus, Brownsville. Brooklyn, etc.
There has to be the true forcing out of the neighborhood. Which is difficult, if not impossible when there is vacant housing or if the population has not reached housing capacity.
Atlanta has a growing yuppie population, but people are willingly moving to the suburbs and nearby Black cities, not being priced out.