I understand what the intent of wireless access points are but I am struggling to understand them fully on a deeper level. So, do wireless access points have their own network with their own IP addresses/SSID's that you need to connect to in order for it to communicate with the main network, or do they just simply show up as a discoverable network device that connects to the main router/main internet?
For example, if my default gateway of my main home network were 10.0.0.1, could the wireless access point show up as something like 10.0.0.30? and it would use the 10.0.0.1 to go to the internet?, or is it hopping over another unique network with different IPs?
Thank you for your time.