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:
“Coming to terms with the rhythms of women’s lives means coming to terms with life itself, accepting the imperatives of the body rather than the imperatives of an artificial, man-made, perhaps transcendentally beautiful civilization. Emphasis on the male work-rhythm is an emphasis on infinite possibilities; emphasis on the female rhythms is an emphasis on a defined pattern, on limitation.”
—Margaret Mead (1901–1978)
“It seems to me that we do not know nearly enough about ourselves; that we do not often enough wonder if our lives, or some events and times in our lives, may not be analogues or metaphors or echoes of evolvements and happenings going on in other people?—or animals?—even forests or oceans or rocks?—in this world of ours or, even, in worlds or dimensions elsewhere.”
—Doris Lessing (b. 1919)