论文标题
拓扑联合公理的变化如何影响连续性
How a Change to Topology's Union Axiom Affects Continuity
论文作者
论文摘要
连续功能的最一般定义要求打开任何开放式设置的预先映射。因此，要讨论摘要中的连续性，有必要首先定义拓扑，这告诉我们空间中的哪些设置是开放的。这样的拓扑是由三个公理给出的，这些公理描述了拓扑中的开放集的方式。在本文中，我们将考虑对这些公理之一的更改，并确定这种变化如何影响函数的连续性。
The most general definition of a continuous function requires that the preimage of any open set be open. Thus, to discuss continuity in the abstract, it is necessary to first define a topology, which tells us which sets in a space are open. Such a topology is given by three axioms that describe how the open sets in a topology behave. In this paper we shall consider a change to one of these axioms and determine how this change affects the continuity of a function.
