Condensed mathematics
Area of mathematics using condensed sets (sheaves of sets on the site of profinite sets) rather than topological spaces
Condensed mathematics is a theory developed by Dustin Clausen and Peter Scholze which replaces a topological space by a certain sheaf of sets, in order to solve some technical problems of doing homological algebra on topological groups. Essentially the same notion was also introduced by Barwick and Haine under the name pyknotic set.
Nº Q107427296 ★
Common · Knowledge
Condensed mathematics
Area of mathematics using condensed sets (sheaves of sets on the site of profinite sets) rather than topological spaces
Condensed mathematics is a theory developed by Dustin Clausen and Peter Scholze which replaces a topological space by a certain sheaf of sets, in order to solve some technical problems of doing homological algebra on topological groups. Essentially the same notion was also introduced by Barwick and Haine under the name pyknotic set.
Last price
—
Floor price
—
7-day median
—
30-day sales
0
30-day range
—
In circulation
0
Price history
median
low – high
sales
No sales in this period
Show table
| Date | median | Low | High | sales |
|---|
Sales history
- Last sale
- —
- 30-day average
- —
- 30-day low
- —
- 30-day high
- —
- Sales 7d
- 0
- Sales 30d
- 0
No sales yet.
Anonymous sales: no buyer or seller shown. Figures count player-to-player sales only.
From Wikipedia
Condensed mathematics is a theory developed by Dustin Clausen and Peter Scholze which replaces a topological space by a certain sheaf of sets, in order to solve some technical problems of doing homological algebra on topological groups. Essentially the same notion was also introduced by Barwick and Haine under the name pyknotic set. The theory aims to unify various mathematical subfields, including topology, complex geometry, and algebraic geometry. In particular, Kiran Kedlaya described condensed mathematics as "technology for doing commutative algebra over topological rings."
Text: Wikipédia, CC BY-SA 4.0. ·
Related cards
Geometrization conjecture
Theorem that closed 3-manifolds uniquely decompose into pieces with 1 of 8 types of geometric structure
Nº Q1503309 ★★★
Space (mathematics)
Mathematical structure of geometric nature
Nº Q472971 ★★
Closed set
Set whose complement is an open set
Nº Q320357 ★★
Knot theory
Study of mathematical knots
Nº Q849798 ★★★
Sendov's conjecture
Conjecture about the roots of polynomials
Nº Q17037028 ★★
Complex geometry
Study of complex manifolds and several complex variables
Nº Q2137810 ★