Posets Finite topological spaces 16 Simplicial complexes 14 Finite spaces 8 Collapses 6 Simple homotopy types 6 Classifying space 4 Homotopy category 4 Nerves 4 Relations 4 Simple homotopy equivalences 4 Subdivision 4 Weak homotopy equivalences 4 p-Subgroups 4 2-dimension 2 Automorphism groups 2 Automorphisms 2 CW-complexes 2 Cellular homology 2 Combinatorial manifolds 2 Finite groups 2 Finite poset 2 Fusion 2 Group of automorphisms 2 Homology manifolds 2 Homotopy types 2 Morse theory 2 Nerve 2 Non-evasiveness 2 Orbit spaces 2