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On the countable union
of cellular decompositions of n-manifolds
William L. Voxman |
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Vol. 47 (1973), No. 1, 277–285
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Abstract |
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Suppose that G1,G2⋯ are cellular upper semicontinuous decompositions of an n-manifold with boundary M(n≠4) such that for i = 1,2,⋯,M∕Gi is homeomorphic to M. Let G be the decomposition of M obtained from the decomposition of Gi in the following manner. A set g belongs to G if and only if g is a nondegenerate element of some Gi or g is a point in M − (∪i=1∞HGi∗). It will be shown that if the various decompositions fit together in a “continuous” manner and if G is an upper semicontinuous decomposition of M, then M∕G is homeomorphic to M. |
Mathematical Subject Classification
Primary: 57A60
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Milestones
Received: 6 March 1972
Published: 1 July 1973
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Authors |
| William L. Voxman | |
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