Like NYC could have run an election immediately after 911. How like Rudy's opponents to LIE and try and blame him because an election was out of the question. He didn't "seize" power. He was still mayor. You don't get elected one day and become the mayor the next.
Actually it was underway the morning of 9/11. The primaries of course. They were put off only till the 25th and the runoffs were held in October. A very short time and the general election went on schedule as well in November. http://www.vote.nyc.ny.us/results.html if you have to see for yourself.
Now what was being discussed was when it was time for Rudy to leave office he tried to have his term extended. There was no reason to do so. As a matter of fact the man Rudy had endorsed won that election. Bloomberg took his oath on time as he should have.