连续映射用序列收敛刻划的条件

The Condition of Using the Property of Sequence Convergence to Describe Continuous Mapping

引进拓扑空间X的可序列收敛性质,证明了这一性质是可商的性质.在此基础上,给出在一般拓扑空间上,连续映射可用序列收敛性质刻划的条件是充分的而非必要条件.顺便指出文[1]中一说法的不妥与疏忽.

This article has introduced topological space X's property of sequencable convergence and proved that this property is quotient property. On the basis of that,this ratical has also pointed out that the condition of using the property of sequence convergence to deseribe continuous mapping is the sufficient condition rather than necessary condition on the general topological space.Point out one inappropriate statement samewhere in article by the way.