Resolution of Singularities in Higher Dimensions
The problem of resolution of singularities in higher dimensions is notorious for many incorrect published proofs and announcements of proofs that never appeared.
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Famous quotes containing the words resolution, higher and/or dimensions:
“[A]s I am pretty well acquainted by great Opportunities with the Nature of Man, and know of a Truth, that all Men fight against their Will, the Danger vanishes, and Resolution rises upon this Subject. For this Reason I shall talk very freely on a Custom which all Men wish exploded, tho’ no Man has Courage enough to resist it.”
—Richard Steele (1672–1729)
“The spider-mind acquires a faculty of memory, and, with it, a singular skill of analysis and synthesis, taking apart and putting together in different relations the meshes of its trap. Man had in the beginning no power of analysis or synthesis approaching that of the spider, or even of the honey-bee; but he had acute sensibility to the higher forces.”
—Henry Brooks Adams (1838–1918)
“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)