A note on the three-segment problem
Mathematica Bohemica (2009)
- Volume: 134, Issue: 2, page 211-215
- ISSN: 0862-7959
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Abstract
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topDoležal, Martin. "A note on the three-segment problem." Mathematica Bohemica 134.2 (2009): 211-215. <http://eudml.org/doc/38087>.
@article{Doležal2009,
abstract = {We improve a theorem of C. L. Belna (1972) which concerns boundary behaviour of complex-valued functions in the open upper half-plane and gives a partial answer to the (still open) three-segment problem.},
author = {Doležal, Martin},
journal = {Mathematica Bohemica},
keywords = {three-segment problem; cluster sets; three-segment problem; cluster sets},
language = {eng},
number = {2},
pages = {211-215},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on the three-segment problem},
url = {http://eudml.org/doc/38087},
volume = {134},
year = {2009},
}
TY - JOUR
AU - Doležal, Martin
TI - A note on the three-segment problem
JO - Mathematica Bohemica
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 134
IS - 2
SP - 211
EP - 215
AB - We improve a theorem of C. L. Belna (1972) which concerns boundary behaviour of complex-valued functions in the open upper half-plane and gives a partial answer to the (still open) three-segment problem.
LA - eng
KW - three-segment problem; cluster sets; three-segment problem; cluster sets
UR - http://eudml.org/doc/38087
ER -
References
top- Bagemihl, F., Piranian, G., Young, G. S., Intersections of cluster sets, Bul. Inst. Politeh. Iaşi, N. Ser. 5 (1959), 29-34. (1959) Zbl0144.33203MR0117337
- Belna, C. L., On the 3-segment property for complex-valued functions, Czech. Math. J. 22 (1972), 238-241. (1972) Zbl0245.30030MR0301200
- Federer, H., Geometric Measure Theory, Springer, Berlin (1996). (1996) Zbl0874.49001
- Freiling, C., Humke, P. D., Laczkovich, M., One old problem, one new, and their equivalence, Tatra Mt. Math. Publ. 24 (2002), 169-174. (2002) Zbl1038.26003MR1939296
- Natanson, I. P., Theory of Functions of a Real Variable, Ungar, New York (1955). (1955) MR0067952
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