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:
“[The human mind] finds more facility in assenting to the self-existence of an invisible cause possessing infinite power, wisdom, and goodness, than in the self-existence of the universe, visibly destitute of these attributes, and which may be the effect of them.”
—James Madison (1751–1836)
“The truth is that a Pigmy and a Patagonian, a Mouse and a Mammoth, derive their dimensions from the same nutritive juices.... [A]ll the manna of heaven would never raise the Mouse to the bulk of the Mammoth.”
—Thomas Jefferson (1743–1826)