Sen, R. On some properties of the hyperspace \(\theta (X)\) and the study of the space \(\downarrow \theta C(X)\). (English) Zbl 1463.54045 J. Linear Topol. Algebra 9, No. 3, 185-192 (2020). Summary: The aim of the paper is to first investigate some properties of the hyperspace \(\theta(X)\), and then in the next article it deals with some detailed study of a special type of subspace \(\downarrow\theta C(X)\) of the space \(\theta (X\times \mathbb{I})\). MSC: 54B20 Hyperspaces in general topology Keywords:\(\theta\)-closed set; H-closed space; H-set; locally \(\theta\)-\(H\) space PDFBibTeX XMLCite \textit{R. Sen}, J. Linear Topol. Algebra 9, No. 3, 185--192 (2020; Zbl 1463.54045) Full Text: Link References: [1] R. F. Dickman, J. R. Porter,θ-perfect andθ-absolutely closed functions, IIlinois J. Math. 21 (1977), 42-60. · Zbl 0351.54010 [2] G. Di Maio, Lj. D. R. Koˇcinac, Some covering properties of hyperspaces, Topology Appl. 155 (2008), 19591969. · Zbl 1170.54005 [3] J. M. G. Fell, A Hausdorff topology for the closed subsets of a locally compact non-Hausdorff space, Proc. Amer. Math. Soc. 13 (1962), 472-476. · Zbl 0106.15801 [4] S. Fomin, Extensions of topological spaces, Ann. Math. 44 (1943), 471-480. ∗ · Zbl 0061.39601 [5] S. Ganguly, S. Jana, R. Sen, A new hyperspace topology and the study of the function spaceθ-LC(X,Y), Mat. Vesnik. 61 (2009), 181-193. · Zbl 1249.54023 [6] F. Hausdorff, Mengenlehre, 3rd ed., Springer, Berlin, 1927. [7] E. Michael, Topologies on spaces of subsets, Trans. Amer. Math. Soc. 71 (1951), 152-182. · Zbl 0043.37902 [8] N. V. Veli˘cko, H-closed topological spaces, Amer. Math. Trans. 78 (1968), 103-118. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.