A connector system (47, 48, 49, 50) for a medical application including a male single channel fluid connector (X) designed with an outer collar (M2) arranged concentric with an inner tube (3) and extending beyond a center collar (M1), and a female single channel fluid connector (Y) is designed with an outer collar (F1) arranged concentric with a tube (13), wherein the male single channel fluid connector (X) is interconnectable with the female single channel fluid connector (Y) to thereby form a fluid tight single channel connection for passage of fluid, and to a luer type female single channel fluid connector (YS), and wherein the female single channel fluid connector (Y) is interconnectable with a luer type male single channel fluid connector (XS). Also a system including a plurality of the connector systems is disclosed.