Category:Quotient Topological Vector Spaces
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This category contains results about Quotient Topological Vector Spaces.
Definitions specific to this category can be found in Definitions/Quotient Topological Vector Spaces.
Let $\GF \in \set {\R, \C}$.
Let $\struct {X, \tau}$ be a topological vector space over $\GF$.
Let $N$ be a linear subspace of $X$.
Let $X/N$ be the quotient vector space of $X$ modulo $N$.
Let $\tau_N$ be the quotient topology on $X/N$.
We say that $\struct {X/N, \tau_N}$ is the quotient topological vector space of $X$ modulo $N$.
Subcategories
This category has the following 2 subcategories, out of 2 total.
Pages in category "Quotient Topological Vector Spaces"
The following 9 pages are in this category, out of 9 total.
F
Q
- Quotient Mapping on Quotient Topological Vector Space is Open Mapping
- Quotient Metric on Vector Space induces Quotient Topology
- Quotient of F-Space by Closed Linear Subspace is F-Space
- Quotient Topological Vector Space is Hausdorff iff Linear Subspace is Closed
- Quotient Topological Vector Space is Topological Vector Space