论文标题
商子群的商人空间
Quotient spaces with strong subgyrogroups
论文作者
论文摘要
在本文中，我们主要调查g/h当g是强烈的拓扑gyropogip时g/h，而H是G/h是G/H是G/H是G/H。如果G是G/H是G/H，则H是G/H是first g/h，如果G/H是fiep g/h，则H是G/H是一个封闭的强度g/h，h是一个强烈的拓扑gyrogroup，h是一个封闭的强度gyrogroup。当且仅当G/H是CSF计数和顺序的A7空间时，首先可容纳空间。此外，结果表明，如果H是G的局部紧凑型强度的g/h，g/h是顺序的，则G也是顺序的。如果H是G的封闭且可分离的G/H，则G/H是宇宙空间，那么G也是宇宙空间。如果商g/h具有可星形计算的CS网络或可符合的WCS*-network，则G还具有可标记的CS-Network或Star-countable WCS*-Network。
In this paper, we mainly investigate the quotient spaces G/H when G is a strongly topological gyrogroup and H is a strong subgyrogroup of G. It is shown that if G is a strongly topological gyrogroup, H is a closed strong subgyrogroup of G and H is inner neutral, then the quotient space G/H is first-countable if and only if G/H is a bisequential space if and only if G/H is a weakly first-countable space if and only if G/H is a csf-countable and sequential a7-space. Moreover, it is shown that if H is a locally compact metrizable strong subgyrogroup of G and the quotient space G/H is sequential, then G is also sequential; if H is a closed first-countable and separable strong subgyrogroup of G, 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.
