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Title: О расположении компактов в Гильбертовом пространстве (Russian)
Title: The position of compacta in Hilbert space (English)
Author: Bogatyĭ, Semeon A.
Author: Smirnov, Yuriĭ Mikhaĭlovich
Language: Russian
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 26
Issue: 1
Year: 1976
Pages: 37-41,42
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Category: math
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MSC: 54C56
MSC: 55D99
MSC: 57A20
idZBL: Zbl 0331.55008
idMR: MR0391009
DOI: 10.21136/CMJ.1976.101371
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Date available: 2008-06-09T14:16:17Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101371
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Reference: [1] R. D. Anderson: Hilbert space is homeomorphic to the countable infinite product of lines.Bull. Amer. Math. Soc. 72 (1966), 515-519. Zbl 0137.09703, MR 0190888, 10.1090/S0002-9904-1966-11524-0
Reference: [2] R. Bennet, K. Borsuk: On homotopically compact spaces.Bull. Acad. Polon. Sci., Ser. Sci. Math. Astronom. Phys. 20 (1972), 865-869. MR 0334140
Reference: [3] K. Borsuk: Concerning homotopy properties of compacta.Fund. Math. 62 (1968), 223--254. Zbl 0159.24603, MR 0229237, 10.4064/fm-62-3-223-254
Reference: [4] K. Borsuk: On positions of sets in spaces.Fund. Math. 79 (1973), 141-158. Zbl 0259.54011, MR 0322793, 10.4064/fm-79-2-141-158
Reference: [5] T. A. Chapman: On some applications of infinite-dimensional manifolds to the theory of shape.Fund. Math. 76 (1972), 181-193. Zbl 0262.55016, MR 0320997, 10.4064/fm-76-3-181-193
Reference: [6] O. Hanner: Some theorems on absolute neighborhood retracts.Ark. Math. 1 (1951), 389-408. Zbl 0042.41102, MR 0043459, 10.1007/BF02591376
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