A note on the concordance homotopy group of real projective space
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- by H. Schneider and R. Wells PDF
- Proc. Amer. Math. Soc. 62 (1977), 367-373 Request permission
Abstract:
By means of the mapping torus construction the following theorem is proved Theorem. If $r \equiv 3 \bmod 4$ and $r \geqslant 7$, and ${\mathcal {P}_r}$ is a homotopy ${P_r}$, then there is an isomorphism ${\pi _0}\;{\operatorname {Diff}^ + }:{\mathcal {P}_r} \cong {\pi _0}\;{\operatorname {Diff}^ + }:{P_r}$.References
- H. W. Schneider, Groups of free involutions of homotopy $S^{[n/2]}\times S^{[(n+1)/2]}$’s, Trans. Amer. Math. Soc. 206 (1975), 99–136. MR 370635, DOI 10.1090/S0002-9947-1975-0370635-3
- C. T. C. Wall, Surgery on compact manifolds, London Mathematical Society Monographs, No. 1, Academic Press, London-New York, 1970. MR 0431216
- R. Wells, Free involutions of homotopy $S^{l}\times S^{l}$’s, Illinois J. Math. 15 (1971), 160–184. MR 271957
- Robert Wells, The concordance diffeomorphism group of real projective space, Trans. Amer. Math. Soc. 192 (1974), 319–337. MR 339224, DOI 10.1090/S0002-9947-1974-0339224-X
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 62 (1977), 367-373
- MSC: Primary 57E05
- DOI: https://doi.org/10.1090/S0002-9939-1977-0431228-X
- MathSciNet review: 0431228