Final answer:
The claim is false; dwarf elliptical galaxies are the most common in the nearby universe and galaxies of various types, including early and developing ones, are found throughout the history of the universe.
Step-by-step explanation:
The statement that galaxies are the most common type of galaxy and are only found in the late or early universe is false. Dwarf elliptical galaxies are probably the most common type of galaxy in the nearby universe, contrary to the claim of the question. Galaxies can indeed be found throughout the universe, with structures from small to large, including spirals, ellipticals, and irregulars. These galaxies contain a mix of old and young stars and vary in both size and mass.
Contrary to what was once believed, galaxies are not static and unchanging. They can change over time due to collisions or changes in star formation rates. Furthermore, observations have shown that early galaxies, also known as 'galaxies under construction,' were smaller and quite different from the more developed galaxies we see closer to us. From these observations, we can understand that galaxy formation and evolution are ongoing processes throughout the history of the universe.