# A note on the three-segment problem

Mathematica Bohemica (2009)

- Volume: 134, Issue: 2, page 211-215
- ISSN: 0862-7959

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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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