What is the legacy of Bourbaki?

Solution 1:

The said legacy is mixed. The volumes dealing with algebra and particularly Lie theory are thought to be excellent. The volume Theory of Sets is not merely out of date but contains serious errors analyzed by a professional logician named Adrian Mathias (see my answer here).

infinite-dimensional Banach spaces has linear subspaces of finite-codimension that are not closed

Is $\mathbb{Z}= \{\dots -3, -2, -1, 0 ,1 ,2 , 3, \dots \}$ countable?

Barycentric coordinates in a triangle - proof

Show $\sum \frac{1}{p}(-1)^{(p-1)/2}$ converges

Is there an algebraic non-rational extension of the integers, whose set of prime elements contains the prime integers?

Separation in compact spaces

Does Continuity in Weak Operator Topology imply Continuity in Strong Operator Topology?

Probability of Intersecting Two Random Segments in a Circle

Prove that the square root of any irrational number is irrational.

Defined negation in intuitionistic linear logic

A Radon measure on $G$ being left-invariant on a dense subgroup $H \subset G$ is a Haar measure on $G$.

Continuously extending a set of independent vectors to a basis.