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Is it possible to map the unit disk onto the complex plane C holomorphically?
This is not a homework question. Thank you for your help
This is not a homework question. Thank you for your help
quasar987 said:Holomorphic maps are continuous. The unit disk is compact. Continuous maps apply compact set to compact set. The complex plane is not compact. Hence, you can't map continuously (or holomorphically) D onto C.