Cornell Tech, the applied sciences graduate school of Cornell University, is expected to announce a $100 million gift from Bloomberg Philanthropies on Tuesday to construct the first academic building on the school’s Roosevelt Island campus.

That building will be called the Bloomberg Center, solidifying Cornell’s ties to former Mayor Michael R. Bloomberg. Cornell Tech won a $400 million competition three and a half years ago to build an applied sciences campus on the island, in New York City, an initiative created by the Bloomberg administration.

“From my perspective, this is closure of a process that Mike Bloomberg and his team started some years ago by creating the applied sciences initiative,” Dr. David J. Skorton, the president of Cornell, said. “The Bloomberg Center will, in perpetuity, carry the name of the person whose idea the whole campus was.”

Technically, the building is named for the former mayor’s daughters, with its full formal name “The Bloomberg Center — in honor of Emma and Georgina Bloomberg.” It will join the ranks of other entities named for the sisters, including an armor gallery at the Metropolitan Museum of Art and a residence hall at Princeton University, named for Emma.