Proposition 2

Tag 025K, permanent. Cite it as [Bourbaki, Tag 025K].

Théories spectrales, chapter I, § 1. Spectres et caractères

Let $I_1$ and $I_2$ be distinct points of J(A). Then one of these two points is not adherent to the other.

For, for example, one has $I_1\not\subset I_2$ . The set $V(I_1)$ of the $I\in J(A)$ such that $I_1\subset I$ is closed in J(A), and it contains $I_1$ but not $I_2$ .

Bourbaki sets the proof directly after the statement, and the corpus does not separate them, so what is above is the statement and its proof together.

Cited by

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Cites

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