Homotopical depth and a conjecture of Grothendieck (Q2711907)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homotopical depth and a conjecture of Grothendieck |
scientific article |
Statements
20 August 2001
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analytic space
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Homotopical depth and a conjecture of Grothendieck (English)
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Let \((X,Y)\) be a polyhedral pair such that \(X\) is second countable. The author proves that the connectivity of the pair \((X,X \smallsetminus Y)\) is greater than or equal to \(-1\) plus the homotopical depth of \(X\) along \(Y\) (conjecture of Grothendieck). The paper contains also a relation between the rectified homological depth and the global rectified homotopical depth of a complex analytic space.
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