In mathematics, cobordism is a fundamental equivalence relation on the class of compact manifolds of the same dimension, set up using the concept of the boundary of a manifold. Two manifolds of the same dimension are cobordant if their disjoint union is the boundary of a compact manifold one dimension higher. Cobordisms are studied both for the eq...
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http://en.wikipedia.org/wiki/Cobordism
(from the article `Thom, René Frédéric`) ...awarded the Fields Medal at the International Congress of Mathematicians in Edinburgh in 1958 for his numerous important contributions in ...
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http://www.britannica.com/eb/a-z/c/102
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