تقرير
Quotient spaces with strong subgyrogroups
| العنوان: | Quotient spaces with strong subgyrogroups |
|---|---|
| المؤلفون: | Bao, Meng, Ling, Xuewei, Xu, Xiaoquan |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - General Topology, 22A22, 54A20, 20N05, 18A32, 20B30 |
| الوصف: | 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. Comment: page 22. arXiv admin note: substantial text overlap with arXiv:2102.05860 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2204.02079 |
| رقم الأكسشن: | edsarx.2204.02079 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |