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Harry Gindi
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Harry Gindi
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Analogs of left, right, inner, and Kan fibrations in CGWH

It is a theorem that the category of compactly generated weakly Hausdorff (CGWH) spaces is Quillen equivalent to the category of simplicial sets with the Kan model structure. However, I know next to nothing about the model structure on CGWH spaces.

Questions: What are the analogs of Kan fibrations, trivial fibrations, cofibrations, and weak cofibrations in CGWH?

Are there analogs of left, right, inner fibrations in CGWH (along with their corresponding anodyne maps)?