Sen. Elizabeth Warren, D-Mass. Bill Clark | CQ Roll Call | Getty Images

Presidential hopeful Sen. Elizabeth Warren wants to break up Apple by separating its control of the App Store from its ability to sell its own apps on its marketplace, the Democratic senator from Massachusetts told The Verge. Warren's Medium post announcing her plans to "break up Big Tech" does not mention Apple by name, but instead called out Amazon, Google and Facebook. But her campaign confirmed to CNBC on Friday that Apple is included in the mission. Warren's view is that companies with an annual global revenue of at least $25 billion cannot own both a "platform utility" and own a participant on that platform. She defines that "utility" as a company that offers "an online marketplace, an exchange, or a platform for connecting third parties." In Google's case, for example, this means it cannot own its ad exchange and a business on that exchange.

In her interview Saturday with The Verge editor Nilay Patel, Warren elaborated on what this breakup would look like for Apple. She said there was "no special reason" the company was left out of her Medium post. "Apple, you've got to break it apart from their App Store. It's got to be one or the other," Warren told The Verge. "Either they run the platform or they play in the store. They don't get to do both at the same time." Warren compared the dominance of tech companies to railroad companies, which also faced antitrust scrutiny over a century ago. "Back when the railroads were dominant, and you had to get steel or wheat onto the railroad, there was a period of time when the railroads figured out that they could make money not only by selling tickets on the railroad, but also by buying the steel company and then cutting the price of transporting steel for their own company and raising the price of transporting steel for any competitors. And that's how the giant grows," Warren said.