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- W1976285440 abstract "Let $alpha (n)$ denote the number of lâs in the binary expansion of n. It is proved that if $n equiv 7$ (8), $alpha (n) = 6$, and $n ne 63$, then ${mathbf {R}}{P^n}$ can be immersed in ${{mathbf {R}}^{2n - 14}}$. This provides the first counterexample to the well-known conjecture that the best immersion is in ${{mathbf {R}}^{2n - 2alpha (n) + 1}}$ (when $alpha (n) equiv 1$ or $2 bmod 4$). The method of proof is obstruction theory." @default.
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- W1976285440 date "1978-01-01" @default.
- W1976285440 modified "2023-10-18" @default.
- W1976285440 title "The immersion conjecture for $RPsp{8l+7}$ is false" @default.
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- W1976285440 doi "https://doi.org/10.1090/s0002-9947-1978-0646070-x" @default.
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