T-Online is big in Germany and the UK, but that's a small part of the internet.
The idea behind the internet is that every machine on the network is a peer, and all peers have equal access to eachother, limited by available bandwidth.
DNS is a hierarchical structure, but the Internet itself is not. DNS has top level domains, like .com, .net, .org, and they work with lower level providers that distributes all the works, in a pyramid like fashion.
When you look up a domain name, it goes to your local providers dns server, that server then forwards the request on to a higher-level server and so on until something is returned or it's run out of places to check.
TCP/IP is the underlying communications protocol that most equipment on the internet uses. TCP/IP is not a heirarchy structure. It's agnostic and sends packets along a "best path" as determined by the router it's currently passing through.
This is why service providers like comcast that want to cap bandwidth, block protocols and ports are extremely dangerous to the internet. They make it so that there is no peer-to-peer relationship, but a master/slave or server/client relationship. You the customer are the client and never the server. This is against the spirit of the internet and why it's so great. Companies that want to package the Internet like they package cable TV stations are dangerous. Bills like SOPA/PROTECT-IP that wants to mess with the DNS infrastructure and kill user generated content are dangerous to our Internet.
*Note, there is a bit of a heirchy when it comes to you and your providers gaining access to backbone lines, but the packets themselves that flow over these lines ignore this heirchy, at least, in a perfect world.