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http://arks.princeton.edu/ark:/88435/dsp012227ms75p| Title: | A Survey of the Cap Set Problem |
| Authors: | Kim, Alexander |
| Advisors: | Dvir, Zeev |
| Department: | Mathematics |
| Class Year: | 2021 |
| Abstract: | In the first part of this paper, I adapt a portion of a paper by Davis and Maclagan—which gives a short proof of the maximal cap in F 4 3 being of size 20—into a variable- and matrixbased notation, for ease of understanding. This is the notation that I initially developed for myself, in order to understand the existing literature. Then, in the remainder of the paper, I survey some of the recent breakthroughs that have been made in the cap-set problem, and their applications. |
| URI: | http://arks.princeton.edu/ark:/88435/dsp012227ms75p |
| Type of Material: | Princeton University Senior Theses |
| Language: | en |
| Appears in Collections: | Mathematics, 1934-2024 |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| KIM-ALEXANDER-THESIS.pdf | 290.58 kB | Adobe PDF | Request a copy |
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