This monograph offers a brand new, systematic therapy of the relation among classifying topoi and classifying areas of topological different types. utilizing a brand new generalized geometric consciousness which applies to topoi, a susceptible homotopy equival- ence is developed among the classifying area and the classifying topos of any small (topological) type. Topos idea is then utilized to provide a solution to the query of what constructions are categorized via "classifying" spaces.
The monograph might be available to someone with simple wisdom of algebraic topology, sheaf idea, and a bit topos thought.
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