Provide the theme summaries for the following conversation: 

#Person1#: Is this your umbrella, Miss?
#Person2#: Oh yes, it is. Thank you. I was looking for it just now.
#Person1#: You look a bit familiar to me. I wonder if we have met somewhere before?
#Person2#: Have we?
#Person1#: May I ask where you live?
#Person2#: Just two blocks away, in that tall building.
#Person1#: That's it. I live there too. I am on the 8th floor.
#Person2#: It's a small world. We live on the same floor.
#Person1#: I'm Adam Smith. May I know your name?
#Person2#: I'm glad to know you. Mr. Smith. I'm Lily Brown.

Summary: 
Adam Smith gives Lily Brown her umbrella. They discover that they live on the same floor of the same building. They introduce themselves.