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Bordism


A relation between compact boundaryless manifolds (also called closed manifolds). Two closed manifolds are bordant iff their disjoint union is the boundary of a compact (n+1)-manifold. Roughly, two manifolds are bordant if together they form the boundary of a manifold. The word bordism is now used in place of the original term cobordism.


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References

Budney, R. "The Bordism Project." https://web.archive.org/web/19970613092454/http://math.cornell.edu:80/~rybu/bordism/bordism.html.

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Bordism

Cite this as:

Weisstein, Eric W. "Bordism." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Bordism.html

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