# Good metric spaces without good parameterizations

@article{Semmes1996GoodMS, title={Good metric spaces without good parameterizations}, author={S. Semmes}, journal={Revista Matematica Iberoamericana}, year={1996}, volume={12}, pages={187-275} }

A classical problem in geometric topology is to recognize when a topological space is a topological manifold. This paper addresses the question of when a metric space admits a quasisymmetric parametrization by providing examples of spaces with many Eucledian-like properties which are nonetheless substantially different from Euclidean geometry. These examples are geometrically self-similar versions of classical topologically self-similar examples from geometric topology, and they can be realized…

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