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Cardinal invariants in the quotient spaces of weakly topological groups

机译:Cardinal invariants in the quotient spaces of weakly topological groups

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摘要

In this note, we show that if H is a closed neutral subgroup of a quasitopological group G, then ib(l)(G/H) <= e(G/H) and if H is a closed subgroup of a quasitopological group G, then ib(r)(G/H) <= e(G/H). We also proved that if H is a closed neutral strong subgyrogroup of a strongly topological gyrogroup (G, tau, circle plus), then: ib(G/H) <= e(G/H); ib(l)(GIH) <= c(G/H); w(G/H) = ib(G/H) . chi(G/H); w(G/H) = nw(G/H) . x(G/H); ib(G/H) <= wl(G/H). These results generalize the corresponding results in [17]. (C) 2022 Elsevier B.V. All rights reserved.

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