Li, Shenggang; Lu, Hanchuan; Fu, Wenqing; Huang, Qinan Characterizations of Hausdorff \(L\)-closure spaces obtained by plausible reasoning. (Chinese. English summary) Zbl 1265.54044 J. Northwest Univ., Nat. Sci. Ed. 41, No. 6, 946-950 (2011). 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.) Keywords:plausible reasoning; sequence; limit; topological space; Hausdorff separation axiom; \(L\)-closure space PDFBibTeX XMLCite \textit{S. Li} et al., J. Northwest Univ., Nat. Sci. Ed. 41, No. 6, 946--950 (2011; Zbl 1265.54044)