Erdal, Mehmet AkifGüçlükan İlhan, Aslı2020-02-202020-02-202019-06-262193-8407http://hdl.handle.net/11693/53452Let G be discrete group and FF be a collection of subgroups of G. We show that there exists a left induced model structure on the category of right G-simplicial sets, in which the weak equivalences and cofibrations are the maps that induce weak equivalences and cofibrations on H-orbits for all H in FF. This gives a model categorical criterion for maps that induce weak equivalences on H-orbits to be weak equivalences in the FF-model structure.EnglishEquivariant homotopyOrbit spaceModel structureArticle10.1007/s40062-019-00241-41512-2891