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 |
. |
Category:
|
math |
. |
MSC:
|
54C56 |
MSC:
|
55D99 |
MSC:
|
57A20 |
idZBL:
|
Zbl 0331.55008 |
idMR:
|
MR0391009 |
DOI:
|
10.21136/CMJ.1976.101371 |
. |
Date available:
|
2008-06-09T14:16:17Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101371 |
. |
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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