The invention relates to a mass transfer or heat-exchange column, a tube bundle heat exchanger, with a first mass transfer or heat-exchange area, a first tube bundle (2), and a second mass transfer or heat-exchange area, in particular a second tube bundle (8), that is arranged spatially above the first mass transfer or heat-exchange area, which are surrounded by a cover (10′). In a tube bundle heat exchanger according to the invention, a lower end section (40) of the second, smaller tube bundle (8) projects into a cover part (13′) of the first, larger tube bundle (2), by which an intermediate space (41) is formed between the lower section (40) of the second tube bundle (8) and the cover part (13′). In the area of this intermediate space (41), an inlet (26) for injecting a medium into the column and optionally a manhole (36) are arranged on the cover part (13′).
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