# Category:Translation of Subsets of Vector Spaces

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This category contains results about **Translation of Subsets of Vector Spaces**.

Definitions specific to this category can be found in Definitions/Translation of Subsets of Vector Spaces.

Let $K$ be a field.

Let $X$ be a vector space over $K$.

Let $E$ be a subset of $X$.

Let $x \in X$.

We define the **translation of $E$ by $x$** as the set:

- $E + x = \set {u + x : u \in E}$

## Subcategories

This category has only the following subcategory.

## Pages in category "Translation of Subsets of Vector Spaces"

The following 10 pages are in this category, out of 10 total.

### I

### T

- Translation of Closed Set in Topological Vector Space is Closed Set
- Translation of Complement of Set in Vector Space
- Translation of Convex Set in Vector Space is Convex
- Translation of Intersection of Subsets of Vector Space
- Translation of Local Basis in Topological Vector Space
- Translation of Open Set in Normed Vector Space is Open
- Translation of Open Set in Topological Vector Space is Open
- Translation of Union of Subsets of Vector Space