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Homotopy equivariance, strict equivariance and induction theory

Homotopy equivariance, strict equivariance and induction theory

An obvious question occurs at the very start of equivariant homotopy theory. What is the relationship between maps equivariant up to homotopy and strictly equivariant maps? This question has been studied by various people, usually away from the group order ([ 8, 11, 22, 25, 26 ]). We consider the …