Bartsch, René; Poppe, Harry A short note on hit-and-miss hyperspaces. (English) Zbl 1062.54010 Appl. Gen. Topol. 4, No. 2, 281-288 (2003). The authors use filters to give some relationships between a topology and some of its hypertopologies. Then some compactness results are given for general hit-and-miss hyperspaces. Reviewer: Alejandro Illanes (México, D.F.) MSC: 54B20 Hyperspaces in general topology 54D30 Compactness Keywords:hit-and-miss topology; compactness; relative completeness; relative compact unions; upper Vietoris topology PDF BibTeX XML Cite \textit{R. Bartsch} and \textit{H. Poppe}, Appl. Gen. Topol. 4, No. 2, 281--288 (2003; Zbl 1062.54010) Full Text: DOI OpenURL