A system for temperature control of the head of a person, comprising: a central section configured to cover at least a part of the top of the head; at least one frontal section configured to cover at least a part of the forehead of the person; at least one right section (14, 14') configured to cover at least a part of the right side of the head of the person; at least one left section (13, 13') configured to cover at least a part of the left side of the head of the person; and at least one rear section (15, 15') configured to cover at least a part of the back of the head of the person; wherein each individual section (11, 12, 13, 13', 14, 14', 15, 15') is configured to be flowed through by a temperature control fluid configured to control the temperature of the head; wherein each individual section (11, 12, 13, 13', 14, 14', 15, 15') is connected to at least one further section (11, 12, 13, 13', 14, 14', 15, 15') and is in fluid communication for the temperature control fluid with this further section (11, 12, 13, 13', 14, 14', 15, 15'); wherein at least one section (11, 12, 13, 13', 14, 14', 15, 15') comprises an inflow opening and at least one section (11, 12, 13, 13', 14, 14', 15, 15') comprises an outflow opening for the temperature control fluid, wherein the system for temperature control comprises at least one connecting element which is arranged to attach at least two sections (11, 12, 13, 13', 14, 14', 15, 15') to one another in a separable manner, and wherein the shape of the system can be adapted to the shape of the head of the person by the separable attachment of the at least two sections (11, 12, 13, 13', 14, 14', 15, 15') to one another, characterized in that the left section (13, 13'), the right section (14, 14') and the rear section (15, 15') comprises at least two subsections movable relative to each other, which, like the frontal section, are each connected to the central section and are in fluid communication for the temperature control fluid with the central section, and wherein the system comprises a substantially star-shaped arrangement of the frontal section, of the left section with the two left subsections (13, 13'), of the right section with the two right subsections (14, 14'), and of the rear section with the two rear subsections (15, 15') at the central section. a central section configured to cover at least a part of the top of the head; at least one frontal section configured to cover at least a part of the forehead of the person; at least one right section (14, 14') configured to cover at least a part of the right side of the head of the person; at least one left section (13, 13') configured to cover at least a part of the left side of the head of the person; and at least one rear section (15, 15') configured to cover at least a part of the back of the head of the person; wherein each individual section (11, 12, 13, 13', 14, 14', 15, 15') is configured to be flowed through by a temperature control fluid configured to control the temperature of the head; wherein each individual section (11, 12, 13, 13', 14, 14', 15, 15') is connected to at least one further section (11, 12, 13, 13', 14, 14', 15, 15') and is in fluid communication for the temperature control fluid with this further section (11, 12, 13, 13', 14, 14', 15, 15'); wherein at least one section (11, 12, 13, 13', 14, 14', 15, 15') comprises an inflow opening and at least one section (11, 12, 13, 13', 14, 14', 15, 15') comprises an outflow opening for the temperature control fluid, wherein the system for temperature control comprises at least one connecting element which is arranged to attach at least two sections (11, 12, 13, 13', 14, 14', 15, 15') to one another in a separable manner, and wherein the shape of the system can be adapted to the shape of the head of the person by the separable attachment of the at least two sections (11, 12, 13, 13', 14, 14', 15, 15') to one another, characterized in that the left section (13, 13'), the right section (14, 14') and the rear section (15, 15') comprises at least two subsections movable relative to each other, which, like the frontal section, are each connected to the central section and are in fluid communication for the temperature control fluid with the central section, and wherein the system comprises a substantially star-shaped arrangement of the frontal section, of the left section with the two left subsections (13, 13'), of the right section with the two right subsections (14, 14'), and of the rear section with the two rear subsections (15, 15') at the central section.