[過去ﾛｸﾞ] 現代数学の系譜11 ガロア理論を読む23 [無断転載禁止]©2ch.net (1002ﾚｽ)
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588: 現代数学の系譜11 ガロア理論を読む 2016/10/05(水)06:17 ID:7cQ3hMXE(2/16) AAS
>>587 関連

外部ﾘﾝｸ[pdf]:www.nobelprize.org
(抜粋)
Answered by topology
Topology describes the properties that remain intact when an object is stretched, twisted or deformed,
but not if it is torn apart. Topologically, a sphere and a bowl belong to the same category,
because a spherical lump of clay can be transformed into a bowl. However, a bagel with a hole in the
middle and a coffee cup with a hole in the handle belong to another category; they can also be remodelled
to form each other’s shapes. Topological objects can thus contain one hole, or two, or three, or
four… but this number has to be an integer. This turned out to be useful in describing the electrical
conductance found in the quantum Hall effect, which only changes in steps that are exact multiples
of an integer (fig. 3).
(引用終り)

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