Where can I find a copy of the Wi-Fi standards?

IEEE standards are written by engineers for other engineers, so they don't make particularly exciting reading. However, they are the defining documents for wireless Ethernet networks, so you might want to take a look at them. They are available online at http://standards.ieee.org/reading/ieee/std/lanman.

When I move to a different access point, the adapter loses the connection

In a Wi-Fi network with more than one base station, wireless adapters are supposed to detect all nearby access points and automatically shift their association to an access point with a clean, strong signal when you move from one place to another. However, the transfers don't always work properly. Sometimes an adapter will just drop the network connection when the signal from the nearest access point fades out. If that happens, try connecting again. If that does not work, try rebooting your computer.