利用合情推理方法得到的Hausdorff L-闭包空间的刻画

Characterizations of Hausdorff L-closure spaces obtained by plausible reasoning

目的阐述合情推理在数学学习和研究中的应用。方法类比、归纳、一般化等方法。结果得到了Hausdorff L-闭包空间的若干个等价刻画。结论推广了一般拓扑学中的一些已知结果,说明了合情推理方法的重要性。

Aim To demonstrate the applications of plausible reasoning in mathematical learning and researsh. Methods Analogy, induction, and generalization. Results Some characteriations of Hausdorff L-closure spaces are obtained. Conclusion Some conclusions in general topology are generalized, and plausible reasoning is proved to be of much importance in mathematical learning.