Transfinite induction indexed by ordinals proves existence of extremal objects in analysis by forcing the process to stop at a countable ordinal, with an application to maximal developments in GR via a new real-valued size quantification.
On the existence of a maximal Cauchy development for the Einstein equa- tions: a dezornification.Ann
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Some examples of use of transfinite induction in analysis
Transfinite induction indexed by ordinals proves existence of extremal objects in analysis by forcing the process to stop at a countable ordinal, with an application to maximal developments in GR via a new real-valued size quantification.