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发表于 2025-3-21 17:34:03 | 显示全部楼层 |阅读模式
书目名称Groupoid Metrization Theory
编辑Dorina Mitrea,Irina Mitrea,Sylvie Monniaux
视频video
丛书名称Applied and Numerical Harmonic Analysis
图书封面Titlebook: ;
出版日期Book 2013
版次1
doihttps://doi.org/10.1007/978-0-8176-8397-9
isbn_ebook978-0-8176-8397-9Series ISSN 2296-5009 Series E-ISSN 2296-5017
issn_series 2296-5009
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发表于 2025-3-21 20:18:43 | 显示全部楼层
Scale-Up from Laboratory to Plant,ded and a structure theorem for semigroupoids established. On the topological side, the notion of topological groupoid is introduced and studied. To set the stage for future metrization results, the concept of partially defined distance is also considered here.
发表于 2025-3-22 01:46:43 | 显示全部楼层
发表于 2025-3-22 04:36:30 | 显示全部楼层
Introduction, Alexandroff–Urysohn metrization theorem for uniform spaces. The metrization theorem in question is quantitative in nature and involves starting from a given quasisubadditive function defined on the underlying groupoid. We also indicate that our general metrization theorem is sharp.
发表于 2025-3-22 10:51:20 | 显示全部楼层
Semigroupoids and Groupoids,ded and a structure theorem for semigroupoids established. On the topological side, the notion of topological groupoid is introduced and studied. To set the stage for future metrization results, the concept of partially defined distance is also considered here.
发表于 2025-3-22 14:03:29 | 显示全部楼层
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发表于 2025-3-23 00:02:23 | 显示全部楼层
Applications to Analysis on Quasimetric Spaces,yond which the Hölder spaces become trivial. Other applications are targeted to Hardy spaces on spaces of homogeneous type, regularized distance, Whitney decompositions, and partitions of unity, as well as the Gromov–Pompeiu–Hausdorff distance.
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