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Michael Greinecker
Michael Greinecker
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A counterexample is given in the following paper:

Roberts, James W. "A compact convex set with no extreme points"A compact convex set with no extreme points." Studia Mathematica 60.3 (1977): 255-266.

I did not see the original paper, but an exposition can be found in Section 5.6 of the book "Metric linear spaces" by Rolewicz.

A counterexample is given in the following paper:

Roberts, James W. "A compact convex set with no extreme points." Studia Mathematica 60.3 (1977): 255-266.

I did not see the original paper, but an exposition can be found in Section 5.6 of the book "Metric linear spaces" by Rolewicz.

A counterexample is given in the following paper:

Roberts, James W. "A compact convex set with no extreme points." Studia Mathematica 60.3 (1977): 255-266.

I did not see the original paper, but an exposition can be found in Section 5.6 of the book "Metric linear spaces" by Rolewicz.

Source Link
Michael Greinecker
Michael Greinecker
  • 13k
  • 4
  • 58
  • 83

A counterexample is given in the following paper:

Roberts, James W. "A compact convex set with no extreme points." Studia Mathematica 60.3 (1977): 255-266.

I did not see the original paper, but an exposition can be found in Section 5.6 of the book "Metric linear spaces" by Rolewicz.