| Title: | Cluster sets of arbitrary functions in Euclidean spaces (Preliminary communication) (English) | 
| Author: | Zajíček, Luděk | 
| Language: | English | 
| Journal: | Commentationes Mathematicae Universitatis Carolinae | 
| ISSN: | 0010-2628 (print) | 
| ISSN: | 1213-7243 (online) | 
| Volume: | 13 | 
| Issue: | 1 | 
| Year: | 1972 | 
| Pages: | 197-201 | 
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| Category: | math | 
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| MSC: | 30A72 | 
| MSC: | 30C20 | 
| MSC: | 30D40 | 
| MSC: | 54C50 | 
| idZBL: | Zbl 0233.30030 | 
| idMR: | MR0309057 | 
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| Date available: | 2008-06-05T20:38:11Z | 
| Last updated: | 2012-04-27 | 
| Stable URL: | http://hdl.handle.net/10338.dmlcz/105408 | 
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| Reference: | [1] F.  BAGEMIHL: Ambiguous points of arbitrary planar sets and functions.Zeitschr. für math. Logik 12 (1966), 205-217. Zbl 0149.01704, MR 0202120 | 
| Reference: | [2] A. M.  BRUCKNER C. GOFFMAN: The boundary behavior of real functions in the upper half plane.Rev. Roum. Math. Pures Appl. 11 (1966), 507-517. MR 0206173 | 
| Reference: | [3] E. P. DOLŽENKO: Graničnyje svojstva proizvol'nych funkcij.Izv. Akad. Nauk SSSR, Ser. Mat. 31 (1967), 3-14. MR 0217297 | 
| Reference: | [4] C. GOFFMAN W. T. SLEDD: Essential cluster sets.Journ. London Math. Soc. 1, Ser. 2 (1969), 295-302. MR 0268384 | 
| Reference: | [5] U. HUNTER: An abstract formulation of some theorems on cluster sets.Proc. Amer. Math. Soc. 16 (1965), 909-912. Zbl 0152.04502, MR 0180682 | 
| Reference: | [6] U. HUNTER: Essential cluster sets.Trans. Amer. Math. Soc. 119 (1965), 380-388. Zbl 0152.04503, MR 0190340 | 
| Reference: | [7] S. KEMPISTY: Sur les fonctions approximativement discontinues.Fund. Math. 6 (1924), 6-8. | 
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