That's an interesting version of history. It's not all true, but it's interesting.

Not only is the other poster correct that the definition of monopoly centers on having market power (not on being a "single source"), but also, many of the search engines you listed are not. Ask.com=Ask Jeeves. AOL uses Google under the hood.

The others you listed are basically BS, too. Example: searching miva.com for "michael jordan" yields one hit, an ad. You call that a search engine?