Infinite Dimensions
Researchers have also considered Hilbert's fifth problem without supposing finite dimensionality. The last chapter of Benyamini and Lindenstrauss discuss the thesis of Per Enflo, on Hilbert's fifth problem without compactness.
Read more about this topic: Hilbert's Fifth Problem
Famous quotes containing the words infinite and/or dimensions:
“It is hard to be finite upon an infinite subject, and all subjects are infinite.”
—Herman Melville (1819–1891)
“Is it true or false that Belfast is north of London? That the galaxy is the shape of a fried egg? That Beethoven was a drunkard? That Wellington won the battle of Waterloo? There are various degrees and dimensions of success in making statements: the statements fit the facts always more or less loosely, in different ways on different occasions for different intents and purposes.”
—J.L. (John Langshaw)