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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Inner product spaces associated with Poincaré complexes
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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
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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