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Cellular decomposition

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In geometric topology, a cellular decomposition G of a manifold M is a decomposition of M as the disjoint union of cells.

The quotient space M/G has points that correspond to the cells of the decomposition. There is a natural map from M to M/G, which is given the quotient topology. A fundamental question is whether M is homeomorphic to M/G.

See also

References

  • Daverman, Robert J. (2007), Decompositions of manifolds, AMS Chelsea Publishing, Providence, RI, p. 22, ISBN 978-0-8218-4372-7, MR2341468
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