神马品牌网记忆的词语解释:组合拓扑的主猜想
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组合拓扑的主猜想
作者：A.A.Ranicki
注释：K-Monographs in Mathematics 1, Kluwer (1996)
摘要/内容：
The Hauptvermutung is the conjecture that any two triangulations of a polyhedron are combinatorially equivalent. The conjecture was formulated at the turn of the century, and until its resolution was a central problem of topology. Initially, it was verified for low-dimensional polyhedra, and it might have been expected that further development of high-dimensional topology would lead to a verification in all dimensions. However, in 1961 Milnor constructed high-dimensional polyhedra with combinatorially inequivalent triangulations, disproving the Hauptvermutung in general.
谢谢！
组合拓扑的主猜想
作者：A.A.Ranicki
注释：K-Monographs in Mathematics 1, Kluwer (1996)
摘要/内容：
The Hauptvermutung is the conjecture that any two triangulations of a polyhedron are combinatorially equivalent. The conjecture was formulated at the turn of the century, and until its resolution was a central problem of topology. Initially, it was verified for low-dimensional polyhedra, and it might have been expected that further development of high-dimensional topology would lead to a verification in all dimensions. However, in 1961 Milnor constructed high-dimensional polyhedra with combinatorially inequivalent triangulations, disproving the Hauptvermutung in general.
谢谢！