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・ Things Could Be Worse
・ Things Couldn't Be Better
・ Things Don't Go Smooth
・ Things Don't Seem
・ Things Done Changed
・ Thin Mints
・ Thin Mints (Girl Scout Cookie)
・ Thin mouse shrew
・ Thin plate spline
・ Thin provisioning
・ Thin sand rat
・ Thin sand-eel
・ Thin section
・ Thin segment
・ Thin set
Thin set (analysis)
・ Thin set (Serre)
・ Thin Silver Thread (novels)
・ Thin Small Outline Package
・ Thin snake eel
・ Thin Solid Films
・ Thin space
・ Thin Thin Khaing
・ Thin Thirty
・ Thin walled beams
・ Thin White Rope
・ Thin Wires in the Voice
・ Thin-film bulk acoustic resonator
・ Thin-film composite membrane
・ Thin-film diode


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Thin set (analysis) : ウィキペディア英語版
Thin set (analysis)

In mathematical analysis, a thin set is a subset of ''n''-dimensional complex space C''n'' with the property that each point has a neighbourhood on which some non-zero holomorphic function vanishes. Since the set on which a holomorphic function vanishes is closed and has empty interior (by the Identity theorem), a thin set is nowhere dense, and the closure of a thin set is also thin.
The fine topology was introduced in 1940 by Henri Cartan to aid in the study of thin sets.
==References==

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抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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