NASHVILLE -- As the deals are completed and improvements are made, pressure mounts on the Los Angeles Dodgers, more than any other Major League Baseball franchise.

L.A. has won the past three National League West titles, but the Arizona Diamondbacks have ripped one of the three best pitchers in baseball off the Dodgers' roster, spending big dollars for Zack Greinke. On Tuesday night, the D-backs swapped three high-end prospects for Shelby Miller. While it's debatable whether these deals represent a smart long-term business decision, there's no question that Arizona will be much more formidable in 2016.

Meanwhile, the Dodgers' primary rival, the San Francisco Giants, have added rotation help in Jeff Samardzija, and appear to have the available resources for at least two more significant moves, the acquisition of a corner outfielder -- perhaps Alex Gordon -- and one more starting pitcher.

The Dodgers are absorbing all of this and are formulating a response, thinking big, discussing a possible blockbuster for the Marlins' Jose Fernandez, a deal that would be extremely pricey because Miami isn't under any pressure to trade their ace now. The Marlins can walk from discussions unless they get the perfect deal, and on the other side of the table, former Dodgers manager Don Mattingly can steer them toward the best values in the L.A. farm system, with a working knowledge of how the front office feels about each of the prospects.

But what the Dodgers should've done Tuesday, and what they can still do today, is slam the door on any more conversations about acquiring Reds closer Aroldis Chapman, and they should do it loudly.