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Free Modules over Cartesian Closed Topological Categories |
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| Authors: | |
| Institution: | (1) c/o G. Cedraschi, 1 Rue des Minoteries, Geneva, 1205, Switzerland |
| Abstract: | The construction of free R-modules over a Cartesian closed topological category X is detailed (where R is a ring object in X), and it is shown that the insertion of generators is an embedding. This result extends the well-known construction of free groups, and more generally of free algebras over a Cartesian closed topological category. Mathematics Subject Classifications (2000) 18D15, 18D35, 18A40. |
| Keywords: | Cartesian closed topological category free module object |
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