Ganster-Reilly分解定理的理想化
Idealization of Ganster-Reilly decomposition theorems
摘要：
在1990年，Ganster和Reilly证明了一个函数是连续的当且仅当它是预连续的和LC-连续的。在本文中，我们推广了他们的连续性分解的理想。我们证明了一个函数$f \colon (X,τ,{\cal I}) \to (Y,σ)$是连续的当且仅当它是预I-连续的和I-LC-连续的。我们还提供了I-连续性的分解。
英文摘要：
In 1990, Ganster and Reilly proved that a function is continuous if and only if it is precontinuous and LC-continuous. In this paper we extend their decomposition of continuity in terms of ideals. We show that a function $f \colon (X,τ,{\cal I}) \to (Y,σ)$ is continuous if and only if it is pre-I-continuous and I-LC-continuous. We also provide a decomposition of I-continuity.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
