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＜キーワード＞ Mathematics Metric space Dense Function Uniform continuity Extension ↓pdf univ を追加(大学レベルのまとまったpdfに絞る) Mathematics Metric space Dense Function Uniform continuity Extension pdf univ ↓検索 googleさん
On densely complete metric spaces and extensions of ... arXiv https://arxiv.org › pdf PDF K Keremedis 著 · 2019 · 被引用数: 7 — S is a dense subspace of X, while f : S → Y is a uniformly continuous function, then there exists a uniformly continuous extension F : X → Y. On densely complete metric spaces and extensions of ...
ResearchGate https://www.researchgate.net › 330... このページを訳す 2019/01/29 — A metric space X is called densely complete if there exists a dense set D in X such that every Cauchy sequence of points of D converges in ... Metric Spaces
DIM-UChile https://www.dim.uchile.cl › ~chermosilla › CVV PDF S Shirali 著 · 被引用数: 139 — Let X be a metric space and x0 a point in X. The space of all real-valued, continuous bounded functions on X with the uniform metric du( f , g) ¼ sup{jf (x) ... 229 ページ On the density of the space of continuous and uniformly ...
ScienceDirect.com https://www.sciencedirect.com › article › pii › pdf › pid=... C Costantini 著 · 2006 · 被引用数: 9 — For X a metrizable space and (Y,ρ) a metric space, with Y pathwise connected, we compute the density of (C(X, (Y, ρ)), σ )—the space of all continuous functions ... 23 ページ Model theory for metric structures Institut Camille Jordan https://math.univ-lyon1.fr › articles › mtfms PDF IB Yaacov 著 · 被引用数: 576 — Suppose M,M0 are metric spaces and f is a bounded uniformly continuous function from M×M0 to R . Let ∆ be a modulus of uniform continuity for f. Then supy f and ... 114 ページ Continuous extensions of continuous functions on dense ...
