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math.MG2007★ 7 cited
An introduction to the geometry of ultrametric spaces
Stephen Semmes
Some examples and basic properties of ultrametric spaces are briefly discussed.
math.MG2007★ 2 cited
Elementary aspects of the geometry of metric spaces
Stephen Semmes
The setting of metric spaces is very natural for numerous questions concerning manifolds, norms, and fractal sets, and a few of the main ingredients are surveyed here.
math.MG2007★ 2 cited
Another introduction to the geometry of metric spaces
Stephen Semmes
Here Lipschitz conditions are used as a primary tool, for studying curves in metric spaces in particular.
math.MG2007
An introduction to the geometry of metric spaces
Stephen Semmes
These informal notes deal with some basic properties of metric spaces, especially concerning lengths of curves.
math.MG2007★ 4 cited
What is a metric space?
Stephen Semmes
The question in the title is discussed briefly, with emphasis on a few basic examples and their properties.