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Title: Cluster sets of arbitrary functions defined on plane sets (English)
Author: Humke, Paul D.
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 26
Issue: 3
Year: 1976
Pages: 448-457
Summary lang: Russian
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Category: math
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MSC: 30A72
idZBL: Zbl 0343.04002
idMR: MR0447579
DOI: 10.21136/CMJ.1976.101418
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Date available: 2008-06-09T14:19:45Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101418
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Reference: [1] F. Bagemihl: Ambiguous points of arbitrary planar sets and functions.Zeitschr. f. math. Logik und Grundlagen d. Math. Bd. 12, S. 205-217 (1966). Zbl 0149.01704, MR 0202120, 10.1002/malq.19660120116
Reference: [2] F. Bagemihl: Curvilinear cluster sets of arbitrary functions.Proc. Nat. Acad. Sci. 41 , 379-382 (1955). Zbl 0065.06604, MR 0069888, 10.1073/pnas.41.6.379
Reference: [3] F. Bagemihl, P. Humke: Rectifiably ambiguous points of planar sets.J. Australian Math. Soc. Vol. XX-(Series)-part l, pp. 85-109 (1975). Zbl 0305.04005, MR 0377835, 10.1017/S1446788700023971
Reference: [4] H. Hahn: Reelle Funktionen.Leipzig, 1932. Zbl 0005.38903
Reference: [5] P. Humke: Samely ambiguous points of arbitrary planar sets and functions.Zeitsch. f. math. Logik und Grundlagen d. Math. Bd. 19, S. 427-433 (1973). MR 0340509, 10.1002/malq.19730192605
Reference: [6] P. Humke: An example of a function with multiple ambiguities.Zeitschr. f. math. Logik und Grundlagen d. Math. Bd. 21, S. 413-416 (1975). Zbl 0318.26003, MR 0385100, 10.1002/malq.19750210156
Reference: [7] J. E. McMillan: Arbitrary functions defined on plane sets.Michigan Math. J. 14, 445 - 447 (1967). Zbl 0206.51701, MR 0218573, 10.1307/mmj/1028999846
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