===== Vector space dimension =====
==== Set ====
| @#55CCEE: context     | @#55CCEE: $V$...$\ \mathcal F$-vector space |

| @#FFBB00: definiendum | @#FFBB00: $\mathrm{dim}(V)\equiv \mathrm{card}(B)$ |

| @#55CCEE: context     | @#55CCEE: $B\in\mathrm{basis}(V)$ |

==== Discussion ====
For finite vector spaces, the basis cardinality $\mathrm{dim}(V)$ is the only invariant w.r.t. vector space isomorphisms.

The [[http://en.wikipedia.org/wiki/Zero_vector_space#Vector_space|Zero vector space]] has an empty base. Its [[vector space dimension]] is zero.
==== Reference ====
Wikipedia: [[http://en.wikipedia.org/wiki/Vector_space|Vector space]]
==== Parents ====
=== Context ===
[[Vector space basis]]