Sparse metric spaces and sparse ends
classification
🧮 math.MG
keywords
spacessparseendsinvariantmetricsomeanaloguearising
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We study metric spaces that in some sense thin out at infinity. We define and investigate a measure of sparsity that is a quasi-isometry invariant, and introduce an analogue of topological ends for sparse spaces that is also invariant under quasi-isometries. We study some 51F30examples arising in various contexts.
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