A strong nonimmersion theorem for ${\mathbf {R}}P^{8l+7}$
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- by Donald M. Davis and Mark Mahowald PDF
- Bull. Amer. Math. Soc. 81 (1975), 155-156
References
- Donald M. Davis and Mark E. Mahowald, The geometric dimension of some vector bundles over projective spaces, Trans. Amer. Math. Soc. 205 (1975), 295–315. MR 372854, DOI 10.1090/S0002-9947-1975-0372854-9
- S. Gitler, Immersion and embedding of manifolds, Algebraic topology (Proc. Sympos. Pure Math., Vol. XXII, Univ. Wisconsin, Madison, Wis., 1970) Amer. Math. Soc., Providence, R.I., 1971, pp. 87–96. MR 0315726
- S. Gitler and M. Mahowald, The geometric dimension of real stable vector bundles, Bol. Soc. Mat. Mexicana (2) 11 (1966), 85–107. MR 231367
- S. Gitler, M. Mahowald, and R. James Milgram, The nonimmersion problem for $RP^{n}$ and higher-order cohomology operations, Proc. Nat. Acad. Sci. U.S.A. 60 (1968), 432–437. MR 227997, DOI 10.1073/pnas.60.2.432 5. M. Mahowald and R. J. Milgram, The Steenrod algebra and its dual for connective K-theory, Proc. Conf. on Homotopy Theory, Evanston, Ill., 1974, Monograph of Mexican Math. Soc.
- Mark Mahowald and Robert Rigdon, Obstruction theory with coefficients in a spectrum, Trans. Amer. Math. Soc. 204 (1975), 365–384. MR 488058, DOI 10.1090/S0002-9947-1975-0488058-5
Additional Information
- Journal: Bull. Amer. Math. Soc. 81 (1975), 155-156
- MSC (1970): Primary 55G45, 57A35; Secondary 55B20, 55D15, 55F05
- DOI: https://doi.org/10.1090/S0002-9904-1975-13683-4
- MathSciNet review: 0405420