\input zb-basic \input zb-ioport \iteman{io-port 02129962} \itemau{Breuckmann, Tomas K.; Kudri, Soraya R.T.; Ayg\"un, Halis} \itemti{About weakly locally compact spaces.} \itemso{L\'opez-D\'\i az, Miguel (ed.) et al., Soft methodology and random information systems. Collection of papers presented at the 2nd international conference on soft methods in probability and statistics (SMPS'2004), Oviedo, Spain, September 2--4, 2004. Berlin: Springer (ISBN 3-540-22264-2/pbk). Advances in Soft Computing, 638-644 (2004).} \itemab In an $L$-topological space (where $L$ is a Hutton algebra) the authors define a kind of weak local compactness which is based on Lowen's strong fuzzy compactness [{\it R. Lowen}, J. Math. Anal. Appl. 64, 446--454 (1978; Zbl 0381.54004)]. Much like its crisp counterpart, this kind of weak local compactness has some good properties. It thus seems to be a reasonable definition. \itemrv{Shenggang Li (Xian)} \itemcc{} \itemut{weak local compactness} \itemli{} \end