Actions of Classical Small Categories

E. E. Floyd and W. J. Floyd


It is our intent here to write an interpretive account of the study of the actions of the classical small categories of topology, reasonably complete in its topological presentation up through about 1975. We are far from expert in this area, but approach it from the related field of equivariant topology. Our feeling is that the colimits, homotopy colimits, and realizations of these categories have made large contributions to the core of topology, and that this language provides a good framework for thinking about these contributions.

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