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http://arks.princeton.edu/ark:/88435/dsp01bz60d061x| Title: | The Crossing Number of Composite Knots |
| Authors: | Stewart, Luca |
| Advisors: | Szabo, Zoltan |
| Department: | Mathematics |
| Class Year: | 2024 |
| Abstract: | This paper will provide an overview of the field of knot theory, both the historical development of the field and a mathematical overview. It will provide the mathematical background in knot theory necessary to examine an open problem in knot theory: the additivity of the crossing number of a connected sum of knots. This paper will examine and discuss the current research and attempts at proving this conjecture. |
| URI: | http://arks.princeton.edu/ark:/88435/dsp01bz60d061x |
| Type of Material: | Princeton University Senior Theses |
| Language: | en |
| Appears in Collections: | Mathematics, 1934-2024 |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| STEWART-LUCA-THESIS.pdf | 5.71 MB | Adobe PDF | Request a copy |
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