Tree- Graded Space
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. A geodesic metric space X is called tree-graded with respect to a collection of connected proper subsets (called pieces) if any two distinct pieces intersect by at most one point, and every non-trivial simple geodesic triangle of X is contained in one of the pieces. In mathematics, a metric space is a set where a notion of distance (called a metric) between elements of the set is defined. The metric space which most closely corresponds to our intuitive understanding o...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. A geodesic metric space X is called tree-graded with respect to a collection of connected proper subsets (called pieces) if any two distinct pieces intersect by at most one point, and every non-trivial simple geodesic triangle of X is contained in one of the pieces. In mathematics, a metric space is a set where a notion of distance (called a metric) between elements of the set is defined. The metric space which most closely corresponds to our intuitive understanding of space is the 3-dimensional Euclidean space. In fact, the notion of "metric" is a generalization of the Euclidean metric arising from the four long-known properties of the Euclidean distance. The Euclidean metric defines the distance between two points as the length of the straight line connecting them.
