Chimney, comprising: - a lower first chimney level, which has a furnace, - a second chimney level arranged above the first chimney level, which has a flue pipe (4.2) engaging through the second chimney level, said flue pipe being attached to the furnace, - a third chimney level arranged above the second chimney level, which, formed as the upper chimney, has a vertical waste gas line (4.3) attached to the flue pipe of the second chimney level, in order to guide waste gas vertically upwards out of the chimney and outside and preferably has a vertical supply line (5.3) in order to supply combustion air to the furnace, wherein it is provided that: a) the outer casing of the third chimney level, as well as the outer casing of the first and the second chimney levels (1, 2), is formed from concrete material, and b) the first chimney level and the second chimney level are formed from a common component that forms the chimney base or the chimney plinth, by the first chimney level and the second chimney level having a common body, which is formed as a concrete structural element formed as a hollow body, preferably made of concrete casing blocks or formed as a single-piece concrete body, wherein (i) the furnace arranged in the first chimney level is formed as a storage furnace, by the furnace formed as a storage furnace being formed in such a way that the heat generated in the furnace is stored primarily in the chimney and is radiated on the outside of the first chimney level or the first and the second chimney level, and wherein (ii) an intermediary wall extending horizontally is formed in the body between the first chimney level and the second chimney level, said intermediary wall separating a lower cavity of the body from an upper cavity of the body, wherein the furnace is formed in the lower cavity, and the through-engaging flue pipe (4.2) extends in the upper cavity, characterised in that the intermediary wall is formed on the furnace resting on its housing or is arranged directly above the furnace at a distance or is formed, as a head of the furnace, integrally with its housing. - a lower first chimney level, which has a furnace, - a second chimney level arranged above the first chimney level, which has a flue pipe (4.2) engaging through the second chimney level, said flue pipe being attached to the furnace, - a third chimney level arranged above the second chimney level, which, formed as the upper chimney, has a vertical waste gas line (4.3) attached to the flue pipe of the second chimney level, in order to guide waste gas vertically upwards out of the chimney and outside and preferably has a vertical supply line (5.3) in order to supply combustion air to the furnace, a) the outer casing of the third chimney level, as well as the outer casing of the first and the second chimney levels (1, 2), is formed from concrete material, and b) the first chimney level and the second chimney level are formed from a common component that forms the chimney base or the chimney plinth, by the first chimney level and the second chimney level having a common body, which is formed as a concrete structural element formed as a hollow body, preferably made of concrete casing blocks or formed as a single-piece concrete body, wherein (i) the furnace arranged in the first chimney level is formed as a storage furnace, by the furnace formed as a storage furnace being formed in such a way that the heat generated in the furnace is stored primarily in the chimney and is radiated on the outside of the first chimney level or the first and the second chimney level, and wherein (ii) an intermediary wall extending horizontally is formed in the body between the first chimney level and the second chimney level, said intermediary wall separating a lower cavity of the body from an upper cavity of the body, wherein the furnace is formed in the lower cavity, and the through-engaging flue pipe (4.2) extends in the upper cavity, (i) the furnace arranged in the first chimney level is formed as a storage furnace, by the furnace formed as a storage furnace being formed in such a way that the heat generated in the furnace is stored primarily in the chimney and is radiated on the outside of the first chimney level or the first and the second chimney level, and wherein (ii) an intermediary wall extending horizontally is formed in the body between the first chimney level and the second chimney level, said intermediary wall separating a lower cavity of the body from an upper cavity of the body, wherein the furnace is formed in the lower cavity, and the through-engaging flue pipe (4.2) extends in the upper cavity,