On classifying spaces via (what came to be understood as) geometric realization of simplicial topological spaces (see MacLane 1972):
On the homotopy type of spaces of rational maps:
Fred Cohen, Ralph Cohen, Benjamin M. Mann, R. James Milgram, The topology of rational functions and divisors of surfaces, Acta Math (1991) 166: 163 (doi:10.1007/BF02398886)
Benjamin M. Mann, R. James Milgram, Some spaces of holomorphic maps to complex Grassmann manifolds, J. Differential Geom. 33(2): 301-324 (1991) (doi:10.4310/jdg/1214446318)
Charles P. Boyer, B. M. Mann, J. C. Hurtubise, R. J. Milgram, The topology of the space of rational maps into generalized flag manifolds, Acta Mathematica. 1994;173(1):61-101 (doi:10.1007/BF02392569)
On group cohomology of finite groups:
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