irule redirect without changing host on client

Hoping you can clarify something. Let's take the two examples:

when HTTP_REQUEST { 
    switch [string tolower [HTTP::uri]] { 
        "/my/application/_" { 
            pool application_pool 
            HTTP::uri [string range [HTTP::uri] 3 end ] 
        } 
        "/test/other/_" { 
            pool test_pool 
            HTTP::uri [string range [HTTP::uri] 5 end ] 
        } 
        default { 
            pool other_pool 
        } 
    } 
}

In this iRule, if the user makes a request for "/my/application/_", you change the URI inline to "/application/_" and then send the request to the application_pool. Any request to say, "/application/layout.css" would go to the other_pool.

when HTTP_REQUEST { 
    switch [string tolower [HTTP::uri]] { 
        "/my/application/_" { 
            HTTP::redirect "http://10.1.1.12[string range [HTTP::uri] 3 end]" 
        } 
        "/test/other/_" { 
            HTTP::redirect "http://10.1.1.13[string range [HTTP::uri] 5 end]" 
        } 
        default { 
            pool other_pool 
        } 
    } 
}

In this iRule, if the user makes a request to "/my/application/_", he is immediately redirected to "http://10.1.1.12/application/_", which is caught by the default condition and sent to the other_pool. Any request to say, "/application/layout.css" would go to the other_pool.

So a few questions:

1. Do the same servers exist in the application_pool and other_pool?

2. What would a CSS URI look like?