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stable subspace
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(Definition)
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A subset $S$ of a larger set $T$ is said to a stable subset for a function $f: T\to T$ iff $f(S)\subset S$
Alternative phrasings with the same meaning are:
- $f$ is an invariant subset for $f$
- $f$ stabilizes $S$
- $S$ is stable under (the action of) $f$
- $S$ is invariant under (the action of) $f$
- $S$ is left stable by/under $f$
- $S$ is left invariant by/under $f$
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"stable subspace" is owned by lalberti.
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(view preamble | get metadata)
| Other names: |
invariant subspace, stable subset, invariant subset |
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Cross-references: invariant, action, stable, function, subset
There are 6 references to this entry.
This is version 3 of stable subspace, born on 2008-03-26, modified 2008-03-27.
Object id is 10446, canonical name is Stable4.
Accessed 2497 times total.
Classification:
| AMS MSC: | 00A05 (General :: General and miscellaneous specific topics :: General mathematics) |
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Pending Errata and Addenda
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