Greenspan put means that if the stock market goes down, the government (mainly Alan Greenspan who was the chairman of the Federal Reserve from 1987 to 2006) would do something to help fix it and make it go back up. To do this, the government would reduce interest rates (the amount of money banks charge when you borrow money) and buy lots of stocks. This would make it cheaper for people to borrow money, and with the government buying lots of stocks, the stock market should go back up.