The Alexander Gored Ball and the Bing Decomposition
‘The Alexander Gored Ball and the Bing Decomposition’ provides a concrete and nontrivial application of the tools of decomposition space theory introduced in the previous chapter. The complement of the Alexander horned ball in the 3-sphere is called the Alexander gored ball. This space is described in three distinct ways: as an intersection of 3-balls; as a 3-dimensional grope; and as a decomposition space. Bing’s theorem that the double of the Alexander gored ball is homeomorphic to the 3-sphere is presented. This gives the first example of a truly nontrivial shrink and, moreover, an example of an exotic involution of the 3-sphere.
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1982 ◽
Vol 92
(1-2)
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pp. 165-174
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1977 ◽
Vol 35
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pp. 562-563
Structural preservation and absolute contrast of catalase crystal sections prepared with tannic acid
1983 ◽
Vol 41
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pp. 448-449
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X Rays
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1991 ◽
Vol 49
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pp. 914-915