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Contractible n-Manifolds and the Double n-Space Property | Pete Sparks
; | Date: |
11 Feb 2015 | Abstract: | We are interested in contractible n-manifolds M which "split" as M = A union
B where A,B, and A intersect B are all homeomorphic to Euclidean n-space (such
M are called open n-splitters) or A,B, and A intersect B are all homeomorphic
to the n-dimensional unit ball (such M are called closed n-splitters). We
introduce a closed 4-splitter M from which we construct an infinite collection
of distinct closed 4-splitters and an uncountable set of open 4-splitters. | Source: | arXiv, 1502.3154 | Services: | Forum | Review | PDF | Favorites |
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