Inner product spaces associated with Poincaré complexes
HTML articles powered by AMS MathViewer
- by Seiya Sasao and Hideo Takahashi PDF
- Trans. Amer. Math. Soc. 260 (1980), 411-419 Request permission
Abstract:
We consider the homotopy type classification of a certain kind of Poincaré complex. First we define an inner product space associated with such a Poincaré complex and we investigate the relation between the inner product space and the homotopy type of the Poincaré complex. As an application, some results for manifolds are proved.References
- William Browder, Surgery on simply-connected manifolds, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 65, Springer-Verlag, New York-Heidelberg, 1972. MR 0358813, DOI 10.1007/978-3-642-50020-6
- John Milnor and Dale Husemoller, Symmetric bilinear forms, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 73, Springer-Verlag, New York-Heidelberg, 1973. MR 0506372, DOI 10.1007/978-3-642-88330-9
- C. T. C. Wall, Periodicity in algebraic $L$-theory, ManifoldsâTokyo 1973 (Proc. Internat. Conf., Tokyo, 1973) Univ. Tokyo Press, Tokyo, 1975, pp. 57â68. MR 0367021
- Seiya Sasao and Hideo Takahashi, Highly connected PoincarĂ© complexes, Kodai Math. J. 2 (1979), no. 2, 139â147. MR 548390
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 260 (1980), 411-419
- MSC: Primary 57P10
- DOI: https://doi.org/10.1090/S0002-9947-1980-0574788-5
- MathSciNet review: 574788