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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Decompositions into codimension-two manifolds


Authors: R. J. Daverman and J. J. Walsh
Journal: Trans. Amer. Math. Soc. 288 (1985), 273-291
MSC: Primary 57N15; Secondary 51B15, 55P55, 57N05
DOI: https://doi.org/10.1090/S0002-9947-1985-0773061-4
MathSciNet review: 773061
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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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Keywords: Codimension-two submanifold, winding function, upper semicontinuous decomposition, <IMG WIDTH="16" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" SRC="images/img12.gif" ALT="$2$">-manifold
Article copyright: © Copyright 1985 American Mathematical Society