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- W1567156061 abstract "Let $({S^4},k({S^2}))$ be a knot formed by spinning a polyhedral arc $alpha$ about the standard $2$-sphere ${S^2}$ in the $3$-sphere ${S^3}$. Then the second homotopy group of ${S^4} - k({S^2})$ as a $Z{pi _1}$-module is isomorphic to each of the following: (1) The fundamental ideal modulo the left ideal generated by $a - 1$, where $a$ is the image in ${pi _1}({S^4} - k({S^2}))$ of a generator of ${pi _1}({S^2} - alpha )$. (2) The first homology group of the kernel of ${pi _1}({S^3} - k({S^2})) to {pi _1}({S^4} - k({S^2}))$" @default.
- W1567156061 created "2016-06-24" @default.
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- W1567156061 date "1973-02-01" @default.
- W1567156061 modified "2023-09-26" @default.
- W1567156061 title "The fundamental ideal and $pi sb{2}$ of higher dimensional knots" @default.
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- W1567156061 doi "https://doi.org/10.1090/s0002-9939-1973-0339193-7" @default.
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