$s$ admits an injective metric
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- by John R. Isbell PDF
- Proc. Amer. Math. Soc. 28 (1971), 259-261 Request permission
Abstract:
There is an injective metric space homeomorphic with a countably infinite product of lines.References
- R. D. Anderson, Hilbert space is homeomorphic to the countable infinite product of lines, Bull. Amer. Math. Soc. 72 (1966), 515–519. MR 190888, DOI 10.1090/S0002-9904-1966-11524-0
- N. Aronszajn and P. Panitchpakdi, Extension of uniformly continuous transformations and hyperconvex metric spaces, Pacific J. Math. 6 (1956), 405–439. MR 84762, DOI 10.2140/pjm.1956.6.405
- J. R. Isbell, Six theorems about injective metric spaces, Comment. Math. Helv. 39 (1964), 65–76. MR 182949, DOI 10.1007/BF02566944
- M. Ĭ. Kadec′, Topological equivalence of all separable Banach spaces, Dokl. Akad. Nauk SSSR 167 (1966), 23–25 (Russian). MR 0201951
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 259-261
- MSC: Primary 54.35; Secondary 46.00
- DOI: https://doi.org/10.1090/S0002-9939-1971-0282333-7
- MathSciNet review: 0282333