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logarithmic transformation

对数变换

本站译名 几何拓扑与低维拓扑 义项编号TS-2239

英文别名
generalized logarithmic transformation;generalized logarithmic transform

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La science et l'hypothèse 封面

《La science et l'hypothèse》 · 第 310 页 · Section 8.3,In the fullest generality 的完整构造;方向与重数另见随后段落

In the fullest generality, a logarithmic transformation consists of locating a torus \(T\) embedded in a 4-manifold \(X\) with trivial normal bundle \(\nu T\approx T\times D^2\), removing \(\operatorname{int}\nu T\) from \(X\) and gluing in \(T^2\times D^2\) by some diffeomorphism \(\phi:T^2\times S^1\to\partial\nu T\).

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