cor·re·spon·dence 
(kôr′ĭ-spŏndəns, kŏr′-)
(kôr′ĭ-spŏndəns, kŏr′-)n.
1. The act, fact, or state of agreeing or conforming: The correspondence of the witness's statement with the known facts suggests that he is telling the truth.
2. A similarity, connection, or equivalence: Is there a correspondence between corporal punishment in children and criminal behavior in adults?
3.
a. Communication by the exchange of letters, emails, or other forms of written messages.
b. The messages sent or received.