Topos are mainly seen in pure mathematics and logic, but there is also an approach to physics in which topos are used!
So, if you're confident about your understanding of basic category theory, check out this 100 page primer titled ' An Introduction to Topos Physics' by Tsatos.
This is a very gentle introduction, well written and pedagogically sound.
If you need more material on topos along side this primer, check out Goldblatt's Topoi, the categorical analysis of logic and sheaves in geometry and logic by Mac Lane and Moerdijk.
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We are establishing a new subfield: Quantum Number Theory.
See: https://t.co/6VT2nQ5RUe
Of course, nothing is completely new. Related ideas include Prof. David Tong’s work, etc.
https://t.co/yoFWWuLWkl
But we will now derive new theorems and formulate new conjectures.
@Grrrrokald@amnezia_404 Используют не только выжившие, но и зомби - в одном эпизоде были какие-то спецназовцы в полном обмундировании в шлемах - им это не помогло от заражения.
I would recommend anything written by the great Yuri Manin, therefore, today, I will suggest you to read this fantastic paper (29 pages) titled 'The Notion of Dimension in Geometry and Algebra'.
In this one, Manin marries mathematics, physics, philosophy, history and much more, a refreshing read, for those used to dry formalism.
Yuri's view on mathematics deeply influenced mine, so give it go, I bet you'll like too.
@multipers3@sphere_homotopy В нестандартном анализе бесконечно малые вводятся совершенно строго и непротиворечиво. Если страшат фильтры, можно посмотреть на аксиоматический подход, Нельсона, например.