# Mathematical Space

(Redirected from Space (mathematics))

A Mathematical Space is a set that ...

**Example(s):**- a Vector Space, such as a Coordinate Space.

**See:**Norm (Mathematics), Universe (Mathematics), Mathematical Structure, Inner Product Space, Normed Vector Space.

## References

### 2015

- (Wikipedia, 2015) ⇒ http://en.wikipedia.org/wiki/space_(mathematics) Retrieved:2015-7-25.
- In mathematics, a
**space**is a set (sometimes called a universe) with some added structure.Mathematical spaces often form a hierarchy, i.e., one space may inherit all the characteristics of a parent space. For instance, all inner product spaces are also normed vector spaces, because the inner product

*induces*a norm on the inner product space such that: : [math] \|x\| =\sqrt{\langle x, x\rangle}. [/math] Modern mathematics treats "space" quite differently compared to classical mathematics.

- In mathematics, a