Abstract: For the indirect heat-exchange of a plurality of gas streams (14, 15, 16) with a heat-cold carrier (2, 7) in heat-exchange blocks (23a, b, c, d, e) in which the gas streams (14, 15, 16) are passed through a multiplicity of heat-exchange passages, only one of the gas streams (14, 15, 16) is passed in this case through at least one heat-exchange block (23a, b, c, d, e). The heat-exchange passages of the heat-exchange block (23a, b, c, d, e), through which this gas stream (14, 15, 16) flows end at two end surfaces of the heat-exchange block (23a, b, c, d, e). The gas stream (23a, b, c, d, e) is fed to an taken off from these heat-exchange passages via in each case a collector/distributor (41) connected to the heat-exchange block (23a, b, c, d, e), which collector/distributor extends in each case over the entire end surface of the heat-exchange block (23a, b, c, d, e).