Fake 4-ball


Fake 4-ball

In mathematics, a fake 4-ball is a compact contractible topological 4-manifold. Michael Freedman proved that every three-dimensional homology sphere bounds a fake 4-ball. His construction involves the use of Casson handles and so does not work in the smooth category.

References

*Alexandru Scorpan, "The Wild World of 4-Manifolds", American Mathematical Society, ISBN 0-8218-3749-4


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