A problem in plane topology
Matematičeskie zametki, Tome 5 (1969) no. 6, pp. 709-718
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In a closed and bounded region of the plane there is given a field of curves satisfying natural continuity properties expressed in geometrical terms. We show that such a field is easy to construct: the ends of all curves which separate the region lie on its boundary.
@article{MZM_1969_5_6_a7,
author = {A. A. Sedaev},
title = {A~problem in plane topology},
journal = {Matemati\v{c}eskie zametki},
pages = {709--718},
year = {1969},
volume = {5},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_6_a7/}
}
A. A. Sedaev. A problem in plane topology. Matematičeskie zametki, Tome 5 (1969) no. 6, pp. 709-718. http://geodesic.mathdoc.fr/item/MZM_1969_5_6_a7/