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+---
+title: Krein–Milman Theorem
+parent: Locally Convex Spaces
+grand_parent: More Functional Analysis
+nav_order: 2
+---
+
+# {{ page.title }}
+
+## Extreme Points
+
+{% definition Extreme Point %}
+Suppose $C$ is a convex subset of a vector space $X$.
+We say that an element $x \in C$ is an *extreme point* of $C$
+if
+{% enddefinition %}
+
+{% proof %}
+{% endproof %}