In this paper, we study metrizable and weakly metrizable coset spaces. It is mainly shown that (1) If H is a closed neutral subgroup of a topological group G, then $G/H$ is metrizable ⇔ $G/H$ is bisequential ⇔ $G/H$ is weakly first-countable ⇔ $G/H$ is a Fréchet-Urysohn space with an ${\omega }^{\omega }$-base; (2) If H is a closed neutral subgroup of a semitopological group G, then $G/H$ is metrizable if and only if $G/H$ is a paracompact feathered space with countable π-character; (3) If H is a closed neutral subgroup of a paratopological group G such that $G/H$ is a Hausdorff space, then $G/H$ is quasi-metrizable if and only if $G/H$ is first-countable; (4) If H is a closed neutral subgroup of a quasitopological group G, then $G/H$ is semi-metrizable if and only if $G/H$ is first-countable.

在本文中，我们研究了可度量和弱可度量的陪集空间。主要证明：（1）如果H是拓扑群G的封闭中性子群，则$G/H$ 可悲⇔ $G/H$ 是双序列⇔ $G/H$ 弱于首数⇔ $G/H$ 是Fréchet-Urysohn空间， ${\omega }^{\omega }$-根据; （2）如果H是半拓扑群G的封闭中性子群，则$G/H$ 当且仅当 $G/H$是具有可数π特征的超紧缩羽毛状空间; （3）如果H是副拓扑群G的封闭中性子群，使得$G/H$ 是一个Hausdorff空间，那么 $G/H$ 是准度量的，当且仅当 $G/H$是第一个可数的；（4）如果H是拟拓扑群G的封闭中性子群，则$G/H$ 当且仅当是 $G/H$ 是第一个可数的。