Equiconnectivity and cofibrations I
Copyright policy )Equiconnectivity and cofibrations I
In this paper and its sequel, we generalize the notion of local equiconnectivity (LEC) given in [1] to that of h local equiconnectivity. We study these notions systematically using the theory of cofibrations and h cofibrations. Some classical results of locally equiconnected spaces are extended and generalized.
Connected and locally connected spaces (general aspects), Absolute neighborhood retracts, hLEC, strong neighborhood deformation retraction onto the diagonal, h cofibrations, Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties), cofibrations, NLEC, Tychonov cube, h-local equiconnectivity, Homotopy extension properties, cofibrations in algebraic topology, uniform local connectivity
Connected and locally connected spaces (general aspects), Absolute neighborhood retracts, hLEC, strong neighborhood deformation retraction onto the diagonal, h cofibrations, Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties), cofibrations, NLEC, Tychonov cube, h-local equiconnectivity, Homotopy extension properties, cofibrations in algebraic topology, uniform local connectivity
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