On equivariant movability of plane invariant compacts
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2001), pp. 26-30
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The notion of movability was itroduced, for metrizable compacts, by K. Borsuk. He proved that the any plane compact is a movable. In this paper the equivariant movability of plane invariant compacts is studied. It is proved that all plane invariant compacts are equivariant movable in the case of linear action of compact and connected group $G$ on the plane.
Keywords:
connected group, plane invariant compact.
@article{UZERU_2001_3_a1,
author = {P. S. Gevorgyan},
title = {On equivariant movability of plane invariant compacts},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {26--30},
year = {2001},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZERU_2001_3_a1/}
}
P. S. Gevorgyan. On equivariant movability of plane invariant compacts. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2001), pp. 26-30. http://geodesic.mathdoc.fr/item/UZERU_2001_3_a1/