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I do not follow why is not reflective in this paper:TOPOLOGICAL REFLECTION REVISITED as required.
I do not follow why is not reflective in this paper: Topological Reflections Revisited - Trnkov-TopologicalReflectionsRevisited-1990.pdf as required.
It's pretty inconvenient to go open a paper, identify where that notation is defined, and only then think about your question. If you can tell us what the definition is and what the context of the claim is that you find insufficient to justify it, there's a much better chance of engaging.