CNBC Daily Open: Shiny September days for stocks

This report is from today's CNBC Daily Open, our international markets newsletter. CNBC Daily Open brings investors up to speed on everything they need to know, no matter where they are. Like what you see? You can subscribe  here .

Cooler-than-expected inflation
The personal consumption expenditures price index for August rose 0.1% for the month. Year over year, prices rose 2.2%, lower than the Dow Jones survey consensus of 2.3% and July's 2.5%. Core PCE, which excludes food and energy prices, increased 0.1% in August and 2.7% from a year ago. Economists were expecting 0.2% and 2.7% respectively.  

Chinese stocks skyrocket
U.S. markets traded mixed Friday. The Dow Jones Industrial Average was the only major index to rise, and closed at another record high. Asia-Pacific markets were mixed Monday. China's Shanghai Composite soared more than 8%, lifted by a rally in Chinese property stocks. Japan's Nikkei 225 slumped around 4.7% as investors react to results of the Liberal Democratic Party election last Friday.

China's factory activity shrinks less than expected
China's manufacturing purchasing mangers' index came in at 49.8 in September, according to data from the National Bureau of Statistics released on Monday. A number below 50 indicates a contraction, meaning China's factory activity has shrunk for five straight months. Still, the reading's higher than the 49.5 expected by economists polled by Reuters.

Enforcing oil output cuts
The OPEC+ alliance is looking to crack down on member countries that aren't following oil output cuts, two OPEC+ delegates, who could only comment anonymously because of sensitivity issues, told CNBC. This move comes after oil prices fell sharply on a Financial Times report that Saudi Arabia was