Quotient spaces of strongly topological gyrogroups

The concept of gyrogroups was introduced during the researches of Einstein velocity addition that Einstein introduced in [16] which founded the special theory of relativity. In this paper, we mainly investigate the quotient spaces generated from a strongly topological gyrogroup with respect to closed strong subgyrogroups. It is shown that if G is a strongly topological gyrogroup and H is a closed first-countable and separable strong subgyrogroup of G, the quotient space G/H is an0 ?-space, then G is an0 ?-space; if the quotient space G/H is a cosmic space, then G is also a cosmic space; if the quotient space G/H has a star-countable cs-network or star-countable wcs*-network, then G also has a star-countable cs-network or star-countable wcs*-network, respectively.