Pipe arrangement for controlling the temperature of buildings, comprising - a feed line, which comprises a connection end for connection to the feed of a temperature control device and a feed end section, - a return line, which comprises a connection end for connection to the return of a temperature control device and a return flow section, - at least a first temperature control circuit, which branches off from the feed end section of the feed line and opens out into the return flow section of the return line, and - at least a second temperature control circuit, which branches off from the feed end section of the feed line and opens out into the return flow section of the return line, characterized in that - the feed end section of the feed line comprises a first check valve, which is arranged between the branch-off point of the at least one first temperature control circuit and the branch-off of the at least one second temperature control circuit, - the return flow section of the return line comprises a second check valve, which is arranged between the junction point of the at least one first temperature control circuit and the junction point of the at least one second temperature control circuit, - a change-over valve, switchable between a first connecting line and a second connecting line, is arranged between the connection end of the feed line and its feed end section and between the return flow section of the return line and its connection end, - wherein in the first position of the change-over valve, (i) the first connecting line is connected between the connection end of the feed line and its feed end section, and (ii) the second connecting line is connected between the return flow section of the return line and its connection end, and - wherein in the second position of the change-over valve, (i) the first connecting line is connected between the connection end of the feed line and the return flow section, and (ii) the second connecting line is connected between the feed end section and the connection end of the return line, and - when the change-over valve is in the first position, the first check valve can be flowed through in its flow direction and the second check valve is blocked, and when the change-over valve is in the second position, the first check valve is blocked and the second check valve can be flowed through. - a feed line, which comprises a connection end for connection to the feed of a temperature control device and a feed end section, - a return line, which comprises a connection end for connection to the return of a temperature control device and a return flow section, - at least a first temperature control circuit, which branches off from the feed end section of the feed line and opens out into the return flow section of the return line, and - at least a second temperature control circuit, which branches off from the feed end section of the feed line and opens out into the return flow section of the return line, - the feed end section of the feed line comprises a first check valve, which is arranged between the branch-off point of the at least one first temperature control circuit and the branch-off of the at least one second temperature control circuit, - the return flow section of the return line comprises a second check valve, which is arranged between the junction point of the at least one first temperature control circuit and the junction point of the at least one second temperature control circuit, - a change-over valve, switchable between a first connecting line and a second connecting line, is arranged between the connection end of the feed line and its feed end section and between the return flow section of the return line and its connection end, - wherein in the first position of the change-over valve, (i) the first connecting line is connected between the connection end of the feed line and its feed end section, and (ii) the second connecting line is connected between the return flow section of the return line and its connection end, and - wherein in the second position of the change-over valve, (i) the first connecting line is connected between the connection end of the feed line and the return flow section, and (ii) the second connecting line is connected between the feed end section and the connection end of the return line, and - when the change-over valve is in the first position, the first check valve can be flowed through in its flow direction and the second check valve is blocked, and when the change-over valve is in the second position, the first check valve is blocked and the second check valve can be flowed through.