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:
“The changes in our life must come from the impossibility to live otherwise than according to the demands of our conscience ... not from our mental resolution to try a new form of life.”
—Leo Tolstoy (1828–1910)
“Sitting in that dusky wilderness, under that dark mountain, by the bright river which was full of reflected light, still I heard the wood thrush sing, as if no higher civilization could be attained. By this time the night was upon us.”
—Henry David Thoreau (1817–1862)
“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)