Louis Antoine
Encyclopedia
Louis Antoine was a French
mathematician who discovered Antoine's necklace
, which J. W. Alexander
used to construct Antoine's horned sphere.
He lost his eyesight in the first World War, at the age of 29. Henri Lebesgue
suggested that Antoine study two- and three-dimensional topology
.
France
The French Republic , The French Republic , The French Republic , (commonly known as France , is a unitary semi-presidential republic in Western Europe with several overseas territories and islands located on other continents and in the Indian, Pacific, and Atlantic oceans. Metropolitan France...
mathematician who discovered Antoine's necklace
Antoine's necklace
In mathematics, Antoine's necklace, discovered by , is an embedding of the Cantor set in 3-dimensional Euclidean space whose complement is not simply connected....
, which J. W. Alexander
J. W. Alexander
J. W. Alexander may refer to:* James Waddel Alexander , American Presbyterian minister and author* John White Alexander , American portrait painter and illustrator...
used to construct Antoine's horned sphere.
He lost his eyesight in the first World War, at the age of 29. Henri Lebesgue
Henri Lebesgue
Henri Léon Lebesgue was a French mathematician most famous for his theory of integration, which was a generalization of the seventeenth century concept of integration—summing the area between an axis and the curve of a function defined for that axis...
suggested that Antoine study two- and three-dimensional topology
Topology
Topology is a major area of mathematics concerned with properties that are preserved under continuous deformations of objects, such as deformations that involve stretching, but no tearing or gluing...
.