Placing New City tiles: you can claim an unowned link that connects to the new city
By urbanizing a town, it is possible to finish an unowned link and claim it. The reasoning is a bit odd:
John Bohrer notes: Urbanization is a track extension, look at your Age of Steam rulebook, all editions, page 3, the Building Track section, specifically the sentence "While City hexes do not show any track, they are considered to have track from each hexside to each other hexside."
http://www.boardgamegeek.com/thread/106940
http://www.boardgamegeek.com/thread/117466
http://www.boardgamegeek.com/thread/80633
telan notes: I don't like this interpretation because it suggests that the urbanizing player would then technically own all of the available out-going links from the new city through their next turn. But evidently this is not intended - anyone can still build out of a new city.
http://www.boardgamegeek.com/article/987513
The reasoning is indeed a bit contradictory since in another thread, John Bohrer notes: Placing a new City is not extending track, it is having every hexside connect to every hexside.
http://www.boardgamegeek.com/thread/404818
So Urbanization both is and isn't extending track, depending on context.