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Magnitude is a numerical invariant of finite metric spaces, recently introduced by T. Leinster, which is analogous in precise senses to the cardinality of finite sets or the Euler characteristic of to...
Magnitude is a real-valued invariant of metric spaces, analogous to the Euler characteristic
of topological spaces and the cardinality of sets. The de nition of magnitude is a special case of a gener...
Uniform Eberlein compactifications of metrizable spaces
scattered space metrizable space scattered compactification
2011/1/18
We prove that each metrizable space X (of size |X| c) has a (first countable) uniform Eberlein compactification and each scattered metriz-able space has a scattered hereditarily paracompact compacti...
Spaces of Type BLO on Non-homogeneous Metric Measure Spaces
upper doubling geometrically doubling RBLO(μ) maximal operator
2010/11/30
Let (X, d, μ) be a metric measure space and satisfy the so-called upper dou-bling condition and the geometrically doubling condition. In this paper, the authors introduce the space RBLO(μ) and prove t...