关于理想拓扑空间的保连续性
On preserving continuity in ideal topological spaces
摘要：
给出了映射$f:\langle X,τ_X^*\rangle \to \langle Y,τ_Y^*\rangle$连续的充分条件，其中$τ_X^*$和$τ_Y^*$分别是由$X$和$Y$上的局部函数诱导的拓扑.假设从$\langle X, τ_X \rangle$到$\langle Y, τ_Y \rangle$的映射是连续的。此外，我们认为在这件事上的开放和封闭的功能，因为我们国家的情况下，开放（或封闭）的映射被保存通过“理想化”的域和codomain。通过几个例子说明了我们所考虑的条件是不能削弱的。
英文摘要：
We present some sufficient conditions for continuity of the mapping $f:\langle X,τ_X^*\rangle \to \langle Y,τ_Y^*\rangle$, where $τ_X^*$ and $τ_Y^*$ are topologies induced by the local function on $X$ and $Y$, resp. under the assumption that the mapping from $\langle X, τ_X \rangle$ to $\langle Y, τ_Y \rangle$ is continuous. Further, we consider open and closed functions in this matter, as we state the cases in which the open (or closed) mapping is being preserved through the "idealisation" of both domain and codomain. Through several examples we illustrate that the conditions we considered can not be weakened.
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