Final answer:
Between an early endosome and a late endosome, the membrane undergoes fission as part of its maturation and sorting process, directing membrane components and cellular materials to their appropriate locations.
Step-by-step explanation:
The process that takes place between an early endosome and a late endosome, specifically relating to the membrane, is membrane fission. During the maturation of an early endosome to a late endosome, the membrane of the early endosome undergoes fission, meaning it sorts and segments off parts of its membrane to eventually form a late endosome. This process is crucial for segregating different cellular materials and ensuring that membrane proteins and lipids are correctly sorted. This may include the recycling of receptors back to the plasma membrane or the transfer of other proteins towards degradation in lysosomes.