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학술저널

ON CROSSING NUMBER OF KNOTS

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The aim of this paper is to endow a monoid structure on the set S of all oriented knots(links) under the operation , called addition of knots. Moreover, we prove that there exists a homomorphism of monoids between (S d , ) to (N, +), where S d is a subset of S with an extra condition and N is the monoid of non negative integers under usual addition.

1. Introduction

2. Preliminaries

3. Crossing Number of Knots

4. Conclusion

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