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Models with dimension
1976
Bulletin of the Australian Mathematical Society
It is well known that, if AC is assumed, then any vector space has a basis, any independent subset can be extended to a basis, any two bases of a vector space have the same cardinality and a one-one map between independent subsets can be extended to a monomorphism between the subspaces they generate. We follow [7] in using Marsh's notions of minimal formula and dimension to generalize the notion of vector space, and in defining algebraic closure, independence and basis. The models which we
doi:10.1017/s0004972700024953
fatcat:6f5a6m6kjneatprsmf6ls6lvca