A model-categorical foundation for filtered and stratified spaces and simplicial sets is constructed, with filtered homotopy groups and a filtered Whitehead theorem, while the full filtered Kan-Quillen equivalence remains open.
Higher Categories and homotopical algebra
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Stratified Homotopy Theory
A model-categorical foundation for filtered and stratified spaces and simplicial sets is constructed, with filtered homotopy groups and a filtered Whitehead theorem, while the full filtered Kan-Quillen equivalence remains open.