Manifolds and Euclidean Space

R.O. Wells
(Jacobs University, Germany)

Abstract: Manifolds have a long and distinguished history going back to their Greek roots in Euclidean space. In the twentieth century there were major advances in the understanding of the relationship between abstract manifolds of various categories and submanifolds of Euclidean and projective space (embedding theorems). This lecture will present highlights of the historical development of manifolds over the centuries leading up to these major results in the twentieth century.