Manifolds with odd euler characteristic and higher orientability
It is well known that odd-dimensional manifolds have Euler characteristic zero. Furthermore, orientable manifolds have an even Euler characteristic unless the dimension is a multiple of 4. We prove here a generalisation of these statements: a k-orientable manifold (or more generally Poincaré comple...
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| Format: | Journal article |
| Language: | English |
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Oxford University Press
2018
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