A question of Katětov concerning the Hilbert parallelotope
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- by Victor Klee
- Proc. Amer. Math. Soc. 12 (1961), 900-903
- DOI: https://doi.org/10.1090/S0002-9939-1961-0149240-5
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References
- Ott-Heinrich Keller, Die Homoiomorphie der kompakten konvexen Mengen im Hilbertschen Raum, Math. Ann. 105 (1931), no. 1, 748–758 (German). MR 1512740, DOI 10.1007/BF01455844
- Victor L. Klee Jr., Convex bodies and periodic homeomorphisms in Hilbert space, Trans. Amer. Math. Soc. 74 (1953), 10–43. MR 54850, DOI 10.1090/S0002-9947-1953-0054850-X
- V. L. Klee Jr., Some topological properties of convex sets, Trans. Amer. Math. Soc. 78 (1955), 30–45. MR 69388, DOI 10.1090/S0002-9947-1955-0069388-5
- V. L. Klee Jr., Homogeneity of infinite-dimensional parallelotopes, Ann. of Math. (2) 66 (1957), 454–460. MR 94688, DOI 10.2307/1969902
Bibliographic Information
- © Copyright 1961 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 12 (1961), 900-903
- MSC: Primary 46.10; Secondary 57.55
- DOI: https://doi.org/10.1090/S0002-9939-1961-0149240-5
- MathSciNet review: 0149240