Stable homotopy types of stunted real projective spaces

Kobayashi, Teiichi

doi:10.1090/S0002-9939-1983-0684657-6

Stable homotopy types of stunted real projective spaces
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Proc. Amer. Math. Soc. 87 (1983), 555-556 Request permission

Abstract:

The purpose of this note is to improve partly necessary conditions for two stunted real projective spaces to be of the same stable homotopy tvpe given in [4].

References

J. F. Adams, Vector fields on spheres, Ann. of Math. (2) 75 (1962), 603–632. MR 139178, DOI 10.2307/1970213
J. F. Adams, On the groups $J(X)$. II, Topology 3 (1965), 137–171. MR 198468, DOI 10.1016/0040-9383(65)90040-6
M. F. Atiyah, Thom complexes, Proc. London Math. Soc. (3) 11 (1961), 291–310. MR 131880, DOI 10.1112/plms/s3-11.1.291
Samuel Feder, Samuel Gitler, and Mark E. Mahowald, On the stable homotopy type of stunted projective spaces, Bol. Soc. Mat. Mexicana (2) 22 (1977), no. 1, 1–5. MR 527670
Teiichi Kobayashi, On the odd order non-singular immersions of real projective spaces, J. Sci. Hiroshima Univ. Ser. A-I Math. 33 (1969), 197–207. MR 259932
Teiichi Kobayashi and Masahiro Sugawara, On stable homotopy types of stunted lens spaces, Hiroshima Math. J. 1 (1971), 287–304. MR 312505