Decompositions into codimension-two manifolds

Daverman, R. J.; Walsh, J. J.

doi:10.1090/S0002-9947-1985-0773061-4

Decompositions into codimension-two manifolds
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by R. J. Daverman and J. J. Walsh

Trans. Amer. Math. Soc. 288 (1985), 273-291

DOI: https://doi.org/10.1090/S0002-9947-1985-0773061-4

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Abstract:

Let $M$ denote an orientable $(n + 2)$-manifold and let $G$ denote an upper semicontinuous decomposition of $M$ into continua having the shape of closed, orientable $n$-manifolds. The main result establishes that the decomposition space $M/G$ is a $2$-manifold.

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