Topology of tensor ranks (Q2173721)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Topology of tensor ranks |
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Topology of tensor ranks (English)
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17 April 2020
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The authors study some topological (in Euclidean and Zariski topology) properties of tensor ranks. Among these properties are: path-connectedness, fundamental groups and higher homotopy groups. This is an extensive investigation and the authors summarize their results in a quite exhaustive table for tensor ranks over $\mathbb{C}$ and $\mathbb{R}$.
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border rank
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symmetric rank
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multilinear rank
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path-connectedness
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homotopy groups
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Bott periodicity
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