Poincaré cobordism exact sequences and characterisation (Q806097)
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scientific article; zbMATH DE number 4205394
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Poincaré cobordism exact sequences and characterisation |
scientific article; zbMATH DE number 4205394 |
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Poincaré cobordism exact sequences and characterisation (English)
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1990
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The author establishes exact sequences connecting oriented and unoriented cobordism of Poincaré duality spaces, analogous to Rohlin's and Wall's exact sequences for differentiable manifolds. The main tool of the author is \textit{N. Levitt}'s exact sequence [Ann. Math., II. Ser. 96, 211-244 (1972; Zbl 0245.57006)] because the transversality principle does not hold in the category of Poincaré duality spaces.
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unoriented cobordism
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Poincaré duality spaces
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\textit{N. Levitt}'s exact sequence
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