×

Characterizations of Hausdorff \(L\)-closure spaces obtained by plausible reasoning. (Chinese. English summary) Zbl 1265.54044

Summary: In order to demonstrate the applications of plausible reasoning in mathematical learning and research, the authors use the approaches of analogy, induction and generalization. Some characterizations of Hausdorff \(L\)-closure spaces are obtained. Some conclusions in general topology are generalized, and plausible reasoning is proved to be of much importance in mathematical learning.

MSC:

54A40 Fuzzy topology
54A05 Topological spaces and generalizations (closure spaces, etc.)
54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)
PDFBibTeX XMLCite