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Proceedings of the American Mathematical Society

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

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Each $\textbf {R}^{\infty }$-manifold has a unique piecewise linear $\textbf {R}^{\infty }$-structure
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by Katsuro Sakai PDF
Proc. Amer. Math. Soc. 90 (1984), 616-618 Request permission

Abstract:

R. E. Heisey introduced piecewise linear ${{\mathbf {R}}^\infty }$-structures and defined piecewise linear ${{\mathbf {R}}^\infty }$-manifolds. In this paper we show that two piecewise linear ${{\mathbf {R}}^\infty }$-manifolds are isomorphic if they have the same homotopy type. From the Open Embedding Theorem for (topological) ${{\mathbf {R}}^\infty }$-manifolds and this result, we have the title.
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Additional Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 90 (1984), 616-618
  • MSC: Primary 57N20; Secondary 57Q25, 58B05
  • DOI: https://doi.org/10.1090/S0002-9939-1984-0733416-5
  • MathSciNet review: 733416