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On the Continuity of Effective Multifunctions
2008
Electronical Notes in Theoretical Computer Science
If one wants to compute with infinite objects like real numbers or data streams, continuity is a necessary requirement: better and better (finite) approximations of the input are transformed in better and better (finite) approximations of the output. In case the objects are constructively generated, they can be represented by a finite description of the generating procedure. By effectively transforming such descriptions for the generation of the input (respectively, their codes) in (the code
doi:10.1016/j.entcs.2008.12.023
fatcat:s2nq2k6g5fhqbd3dbwl7q3o6gu