On the homotopy theory of topogenic groups and groupoids
On the homotopy theory of topogenic groups and groupoids
introducing homotopy theory in these categories; this is mediated by two notions of "fibration", viz.weak fibrations and Kan fibrations.Weak fibrations are designed to exhibit the homotopy fibres, and more generally homotopy pullbacks, of morphisms of topogenic groups and groupoids.The principal result is an existence theorem (8.3) which, inter alia, allows …