Actions of Classical Small Categories
E. E. Floyd and W. J. Floyd
Abstract
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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