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現代数学の系譜11 ガロア理論を読む8



543 名前:132人目の素数さん [2014/05/18(日) 18:29:09.08 ]
>>541
ども
4次元だとキャッソンハンドルに同相らしい
"Casson's idea was to iterate this construction an infinite number of times, in the hope that the problems about double points will somehow disappear in the infinite limit."
ということなので、”disappear in the infinite limit."が結論だな

en.wikipedia.org/wiki/Casson_handle
In 4-dimensional topology, a branch of mathematics, a Casson handle is a 4-dimensional topological 2-handle constructed by an infinite procedure. They are named for Andrew Casson, who introduced them in about 1973.
They were originally called "flexible handles" by Casson himself, and Michael Freedman (1982) introduced the name "Casson handle" by which they are known today.
In that work he showed that Casson handles are topological 2-handles, and used this to classify simply connected compact topological 4-manifolds.






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