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Mohammad Golshani
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You may look at the paper Regressive functions and stationary sets by Kirsten Steffens:

Review from Mathscinet:

The notions of closed unbounded sets, regressive functions, stationary sets and diagonal intersections are generalized to a wide range of partially ordered sets. The main theme is a generalization of Fodor's theorem and conditions are given under which the generalized theorem holds.

Mohammad Golshani
  • 32.1k
  • 2
  • 99
  • 198