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solid torus

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Chromatic Homotopy Theory Jacob Lurie

《Chromatic Homotopy Theory》 · 第 274、287 页 · Section 9.2.1 的 disc 约定及 Section 9.2.11 的 solid torus 定义

Speaking about three-dimensional spaces, we will henceforth use a more intuitive terminology and call disc and ball respectively the closed discs \(D^2\) and \(D^3\), and we will use the symbols \(D\) and \(B\) for them. […] A solid torus is a handlebody of genus 1, that is a three-manifold diffeomorphic to \(D\times S^1\).

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