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Some intricate noninvertible links
1970
Bulletin of the American Mathematical Society
Let L be an oriented, ordered link imbedded in the oriented 3sphere S 3 , and let fx and K be integers such that 1 S^K<JX. We say that L is a generalized noninvertible link for the pair ju, K (or a (ju, K)I link) if it satisfies : (i) L has ix components ; (ii) Each sublink with K or fewer components is invertible ; (iii) Each sublink with more than K components is noninvertible, L is invertible provided it is of the same (oriented) type as its inverse. The inverse of L is obtained by reversing
doi:10.1090/s0002-9904-1970-12578-2
fatcat:jk5qha2zwrdebnwcsnoujj4xk4