Problem 7. Consider an oriented link of two components.
(a) Show that changing an overcrossing to an undercrossing changes the sign of the number assigned to that crossing.
(b) What effect does this have on the linking number?
(c) Use the fact that every link with two components can be converted into the trivial link by exchanging overcrossings for undercrossings to conclude that the linking number is always an integer.
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