The origin of the notion of manifold
from Riemann's Habilitationsvortrag onward
pp. 295-309
in: Lizhen Ji, Athanase Papadopoulos, Sumio Yamada (eds), From Riemann to differential geometry and relativity, Berlin, Springer, 2017Abstract
In this chapter we survey how the notion of manifold was born, elaborated, and developed, starting from Riemann's Habilitationsvortrag. We also touch upon the philosophical side of this development.