Axiomatic Set Theory 10: Cardinal Arithmetic | The n-Category Café
1 天前 — Previously: Part 9. The course is over! The grand finale was the theorem that. X × Y ≅ X + Y ≅ max (X, Y) X \times Y \cong X + Y \cong max(X, Y) . for all infinite sets X X and Y …
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Galois Theory | The n-Category Café - University of Texas at Austin
2024年8月15日 — Galois Theory Posted by Tom Leinster. I’ve just arXived my notes for Edinburgh’s undergraduate Galois theory course, which I taught from 2021 to 2023.. I first …
The n-Category Café - University of Texas at Austin
Previously: Part 7.Next: Part 9. By this point in the course, we’ve finished the delicate work of assembling all the customary set-theoretic apparatus from the axioms, and we’ve started …
The Riemann Hypothesis (Part 3) | The n-Category Café
2019年9月11日 — Perhaps this is a good occasion to mention Weil’s letter from his prison cell to his philosopher sister, Simone, translated here, which invokes an analogy reused by John …
The Riemann Hypothesis (Part 1) | The n-Category Café
2019年9月7日 — I’ve been trying to understand the Riemann Hypothesis a bit better. Don’t worry, I’m not trying to prove it — that’s a dangerous quest. Indeed Ricardo Pérez-Marco has a whole …
Algebraic Closure | The n-Category Café - University of Texas at …
2021年4月13日 — Thanks for that — I had a much more complicated argument in mind, so I’m glad you came up with that simpler one. Here’s a variant on your example: splitting an idempotent …
The Golomb-Dickman Constant | The n-Category Café
2019年11月23日 — Here’s one of the many cute facts about random permutations — not the simplest, but not the most complicated. Let a n a_n be the average length of the longest cycle …
Conversations on Mathematics | The n-Category Café
2022年7月16日 — The conversations on YouTube are labelled ‘conversation’. Minkowski and lattices - February 11, 2022.. The kid who learned math on the street - February 18, 2022. On …
EGA1: The Language of Schemes | The n-Category Café
2020年2月6日 — Tim Hosgood, Ryan Keleti and others have finished an English translation of this classic:. Alexander Grothendieck, EGA1: The Language of Schemes and the LaTeX files are …