Display title | Homology sphere |
Default sort key | Homology sphere |
Page length (in bytes) | 11,933 |
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Page ID | 181098 |
Page content language | en - English |
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Page creator | imported>Sherlock |
Date of page creation | 20:53, 6 February 2024 |
Latest editor | imported>Sherlock |
Date of latest edit | 20:53, 6 February 2024 |
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Description | Content |
Article description: (description ) This attribute controls the content of the description and og:description elements. | In algebraic topology, a homology sphere is an n-manifold X having the homology groups of an n-sphere, for some integer $ n\geq 1 $. That is,
$ H_{0}(X,\mathbb {Z} )=H_{n}(X,\mathbb {Z} )=\mathbb {Z} $
and
$ H_{i}(X,\mathbb {Z} )=\{0\} $ for all other i.
Therefore X is a connected space, with one... |