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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles 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 1.48.

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On infinite-dimensional manifold triples
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by Katsuro Sakai and Raymond Y. Wong PDF
Trans. Amer. Math. Soc. 318 (1990), 545-555 Request permission

Abstract:

Let $Q$ denote the Hilbert cube ${[ - 1,1]^\omega },\;s = {( - 1,1)^\omega }$ the pseudo-interior of $Q,\;\Sigma = \{ ({x_i}) \in s|\sup |{x_i}| < 1\}$ and $\sigma = \{ ({x_i}) \in s|{x_i} = 0\;{\text {except for finitely many}}\;i\}$. A triple $(X,M,N)$ of separable metrizable spaces is called a $(Q,\Sigma ,\sigma )$- (or $(s,\Sigma ,\sigma )$-)manifold triple if it is locally homeomorphic to $(Q,\Sigma ,\sigma )$ (or $(s,\Sigma ,\sigma )$). In this paper, we study such manifold triples and give some characterizations.
References
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 318 (1990), 545-555
  • MSC: Primary 57N20; Secondary 58B99
  • DOI: https://doi.org/10.1090/S0002-9947-1990-0994171-4
  • MathSciNet review: 994171