Number of connections

I've noticed that when using pgAdmin, each user will have multiple
connections to the database. We actually observe three connections for each
user which seem to be:
1. pgAdmin UI
2. Maintenance database
3. Query Window

Then for each Query Window, there is another connection created. So if a
user wants to execute two concurrent queries, they actually have four
database connections open.

Wouldn't it be better to create a connection pool and only increment beyond
one connection to the database when there are true concurrent requests? I
believe this is how M$ SQL Server handles this.

Alternatively, limiting the client to only one connection would be OK too
and be less work than implementing a connection pool. Maybe this could be a
configuration setting. (Multi-thread yes/no).

Jon