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vector_space_dimension [2013/08/31 16:15]
nikolaj
vector_space_dimension [2013/09/06 23:12]
nikolaj
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 ==== Discussion ==== ==== Discussion ====
-The basis cardinality $\mathrm{dim}(V)$ is the only invariant w.r.t. vector space isomorphisms.+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 ==== ==== Reference ====
 Wikipedia: [[http://​en.wikipedia.org/​wiki/​Vector_space|Vector space]] Wikipedia: [[http://​en.wikipedia.org/​wiki/​Vector_space|Vector space]]
-==== Context ​==== +==== Parents ​==== 
-=== Image of ===+=== Requirements ​===
 [[Vector space basis]] [[Vector space basis]]
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