Dense sigma-compact subsets of infinite-dimensional manifolds
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- by T. A. Chapman PDF
- Trans. Amer. Math. Soc. 154 (1971), 399-426 Request permission
Abstract:
In this paper four classes of separable metric infinite-dimensional manifolds are studied; those which are locally the countable infinite product of lines, those which are locally open subsets of the Hubert cube, and those which are locally one of two dense sigma-compact subsets of the Hilbert cube. A number of homeomorphism, product, characterization, and embedding theorems are obtained concerning these manifolds.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 154 (1971), 399-426
- MSC: Primary 57.55
- DOI: https://doi.org/10.1090/S0002-9947-1971-0283828-7
- MathSciNet review: 0283828