Hilbert space is homeomorphic to the countable infinite product of lines

Anderson, R. D.

doi:10.1090/S0002-9904-1966-11524-0

Bulletin of the American Mathematical Society

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ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Hilbert space is homeomorphic to the countable infinite product of lines
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by R. D. Anderson PDF

Bull. Amer. Math. Soc. 72 (1966), 515-519

References

R. D. Anderson, Topological properties of the Hilbert cube and the infinite product of open intervals, Trans. Amer. Math. Soc. 126 (1967), 200–216. MR 205212, DOI 10.1090/S0002-9947-1967-0205212-3
C. Bessaga, On topological classification of complete linear metric spaces, Fund. Math. 56 (1964/65), 251–288. MR 178322, DOI 10.4064/fm-56-3-250-288
C. Bessaga and A. Pełczyński, Some remarks on homeomorphisms of $F$-spaces, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 10 (1962), 265–270. MR 139917

Additional Information

Journal: Bull. Amer. Math. Soc. 72 (1966), 515-519
DOI: https://doi.org/10.1090/S0002-9904-1966-11524-0
MathSciNet review: 0190888