Topology Quotes

“If geometry is dressed in a suit coat, topology dons jeans and a T-shirt.”

“Wikipedia: Topology”

“In these days the angel of topology and the devil of abstract algebra fight for the soul of each individual mathematical domain.”

“Topologists are interested not only in finite-dimensional spaces (for example, subspaces of Rⁿ), but also in infinite-dimensional ones, such as the spaces occurring in quantum field theory.”

“Presentday topology consists of two distinct parts: point set topology and algebraic topology. The first has mainly been the prerogative of Poland plus a strong American component: the school of R. L. Moore (of Austin, Texas).”