Abstract

In this note, we show that if H is a closed neutral subgroup of a quasitopological group G, then ibl(G/H)≤e(G/H) and if H is a closed subgroup of a quasitopological group G, then ibr(G/H)≤e(G/H). We also proved that if H is a closed neutral strong subgyrogroup of a strongly topological gyrogroup (G,τ,⊕), then: ib(G/H)≤e(G/H); ibl(G/H)≤c(G/H); w(G/H)=ib(G/H)⋅χ(G/H); w(G/H)=nw(G/H)⋅χ(G/H); ib(G/H)≤wl(G/H). These results generalize the corresponding results in [17].

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