Multi-storey building with safe means of access and escape in the event of fire, with: - a core zone in which at least one safety staircase and at least one elevator shaft for an elevator F are located; - horizontal fire- and water-resistant fire barriers, which seal off the core zone in the horizontal direction from surrounding usage areas against fire and water; and - vertical fire and water-resistant fire barriers, which separate the core zone in the vertical direction into core segments and seal off the usage areas in the vertical direction in fire protection segments against fire and water, wherein: - the vertical fire barriers are designed as intermediary floors; - each core segment is protected by a smoke prevention pressure system and is connected to at least the intermediary floor above or below in such a way that the smoke prevention pressure system keeps, besides this core segment, also this above or below adjoining intermediary floor smoke-free in the event of fire; the horizontal fire and water-resistant fire barriers include a fire protection door between an elevator lobby and the usage areas and a fire protection door between the safety staircase and the usage areas, characterized in that the fire protection door between the lift lobby and the usage areas is controllable via a fire control system, and the fire control system is designed in such a way that the fire protection door between the lift lobby and the usage areas is locked in the event of fire, so that in the event of fire, the at least one elevator shaft and the lift lobby can only be accessed via the safety staircase and its upstream fire protection door to the usage areas. - a core zone in which at least one safety staircase and at least one elevator shaft for an elevator F are located; - horizontal fire- and water-resistant fire barriers, which seal off the core zone in the horizontal direction from surrounding usage areas against fire and water; and - vertical fire and water-resistant fire barriers, which separate the core zone in the vertical direction into core segments and seal off the usage areas in the vertical direction in fire protection segments against fire and water, wherein: - the vertical fire barriers are designed as intermediary floors; - each core segment is protected by a smoke prevention pressure system and is connected to at least the intermediary floor above or below in such a way that the smoke prevention pressure system keeps, besides this core segment, also this above or below adjoining intermediary floor smoke-free in the event of fire; - the vertical fire barriers are designed as intermediary floors; - each core segment is protected by a smoke prevention pressure system and is connected to at least the intermediary floor above or below in such a way that the smoke prevention pressure system keeps, besides this core segment, also this above or below adjoining intermediary floor smoke-free in the event of fire; the horizontal fire and water-resistant fire barriers include a fire protection door between an elevator lobby and the usage areas and a fire protection door between the safety staircase and the usage areas, characterized in that the fire protection door between the lift lobby and the usage areas is controllable via a fire control system, and the fire control system is designed in such a way that the fire protection door between the lift lobby and the usage areas is locked in the event of fire, so that in the event of fire, the at least one elevator shaft and the lift lobby can only be accessed via the safety staircase and its upstream fire protection door to the usage areas.