Relations To Satellite Operations
If a knot is a satellite knot with companion i.e.: there exists an embedding such that where is an unknotted solid torus, then . Where is the integer that represents in .
Examples: For a connect-sum . If is an untwisted Whitehead double, then .
Read more about this topic: Alexander Polynomial
Famous quotes containing the words relations, satellite and/or operations:
“Happy will that house be in which the relations are formed from character; after the highest, and not after the lowest order; the house in which character marries, and not confusion and a miscellany of unavowable motives.”
—Ralph Waldo Emerson (1803–1882)
“Books are the best things, well used; abused, among the worst. What is the right use? What is the one end, which all means go to effect? They are for nothing but to inspire. I had better never see a book, than to be warped by its attraction clean out of my own orbit, and made a satellite instead of a system.”
—Ralph Waldo Emerson (1803–1882)
“You can’t have operations without screams. Pain and the knife—they’re inseparable.”
—Jean Scott Rogers. Robert Day. Mr. Blount (Frank Pettingell)