Transverse stable causality is introduced for Lorentzian foliations and, for simple foliations, is shown to be equivalent to most of its classical analogues: time functions, temporal functions, and K-causality.
Lyapounov functions of closed cone fields from Conley theory to time functions
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Transverse stable causality in Lorentzian foliations
Transverse stable causality is introduced for Lorentzian foliations and, for simple foliations, is shown to be equivalent to most of its classical analogues: time functions, temporal functions, and K-causality.