An exchange doesn't own shares. Instead, it acts as a market wherever stock patrons connect with stock sellers. Stocks are listedon one or a lot of many potential exchanges like the Bombay stock exchange (BSE).
Though you'll presumably trade stocks through a broker, it's necessary to know the connection between exchanges and corporations, and therefore the ways that during which the wants of various exchanges shield investors. 
List of top fifteen stock exchange across the world:
1. The New York Stock Exchange
2. NASDAQ
3. London Stock Exchange
4. Tokyo Stock Exchange
5. Shanghai Stock Exchange
6. Hong Kong Stock Exchange
7. Euronext
8. Shenzhen Stock Exchange
9. TMX Group
10. Deutsche Börse
11. Bombay Stock Exchange
12. National Stock Exchange of India
13. SIX Swiss Exchange
14. Australian Securities Exchange
15. Korea Exchange