Basis for Vector Space: Understanding the Exceptional Case

[bphysics]

Homework Statement

My notes has the following statement, but I seem to have forgotten to write down the conclusion of the statement before my professor erased it from the board.

"Any vector space V there will be a basis except for 1 type of space: "

Any ideas as to what that 1 type of space is?

Thanks

 

[mrbohn1]

perhaps "infinite dimensional"? They don't have a basis unless you assume the axiom of choice.

 

[Mark44]

Probably the space consisting of just the 0 vector.