# gn.general topology – How to construct this dendrite?

In the early 1970s Pelczynski noticed that the only surjective isometries on $$C(K)$$ for the following compact Hausdorff space $$K$$ are $$pm Id$$. I believe this was the first such example.

Quoting from Davis in “Separable Banach spaces with only trivial isometries”: Let $$K$$ be a dendrite containing for each $$n>2$$ exactly one cut-point of degree $$n$$ so that the cut-points are dense in $$K$$. Then the only surjective homomorphism of $$K$$ is the identity.” Banach-Stone then yields the result.

My question is: How does one construct $$K$$?

One of my issues is that I don’t know some of the basic definitions. What is the degree of a cut point? Googling has not been very helpful.