Skip to main content

New answers tagged

4 votes

What intuitive notion is formalized by condensed mathematics?

I like the earlier answers but I want to give more naive and intuitive justifications for why condensed sets are sheaves and more importantly why sheaves on the category of totally disconnected ...
Concrete9310's user avatar
4 votes

What intuitive notion is formalized by condensed mathematics?

$ \newcommand{\N}{\mathbb N} \newcommand{\R}{\mathbb R} \newcommand{\~}{\tilde} \newcommand{\O}{\mathcal O} \newcommand{\Set}{\mathrm{Set}} \newcommand{\Top}{\mathrm{Top}} \newcommand{\iso}{\...
Yuri Sulyma's user avatar
  • 1,838
21 votes
Accepted

What intuitive notion is formalized by condensed mathematics?

Condensed sets axiomatize the notion of convergence rather than the notion of neighborhoods. Unlike topological spaces, they allow a sequence to converge "for multiple different reasons". ...
Yuri Sulyma's user avatar
  • 1,838

Top 50 recent answers are included