Linear and multilinear algebra; matrix theory Concept
Quotient space
Summary
The quotient space of a vector space by a subspace is the set of cosets of the subspace, with the operations inherited from the space. It identifies two vectors when their difference lies in the subspace.
Where this leads
16 pages build on this one.
- Kuranishi structure
- Thom space
- Chow's theorem
- Mahler's compactness theorem
- Complex projective space
- Space of connections modulo gauge
- Fredholm index
- Quotient of a normed space
- Conley index
- Fredholm map
- Calabi–Eckmann manifold
- Fredholm operator
- Moduli space of instantons
- Marsden–Weinstein reduction
- Associated bundle
- Hopf manifold
Further reading
About this page
| Tag | 0BR3FY5Q8M |
|---|---|
| URI | m2://0BR3FY5Q8M |
| Kind | concept |
| Writing | W1 stated |
| MSC | 15A03 |
| Specializes | Vector space |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (1 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Definitions
Used by
- Kuranishi structure
- Thom space
- Mahler's compactness theorem
- Complex projective space
- Space of connections modulo gauge
- Fredholm index
- Quotient of a normed space
- Conley index
- Fredholm operator
- Marsden–Weinstein reduction
- Associated bundle
- Hopf manifold