In the present work we propose to analyze, through Multiple Factorial Analysis (MFA), the relational structure embedded in collaboration networks observed across time occasions. We show, through a case study, how the solutions provided by the MFA can be interpreted in a suitable way in the relational setting which arises in complex and heterogeneous networks. Valuable information about the strength and typology of the collaboration structure and its evolution can be obtained. As case study, we analyze a Technological District located in South Italy