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On some properties of the hyperspace $\theta (X)$ and the study of the space $\downarrow\theta C(X)$ | ||
Journal of Linear and Topological Algebra | ||
دوره 09، شماره 03، آذر 2020، صفحه 185-192 اصل مقاله (139.73 K) | ||
نوع مقاله: Research Paper | ||
نویسنده | ||
R. Sen* | ||
Department of Mathematics, Presidency University, 86/1 College Street, Kolkata, India | ||
چکیده | ||
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 $\theta (X\times \mathbb I)$. | ||
کلیدواژهها | ||
$theta$-closed set؛ H-closed space؛ H-set؛ locally $theta$-$H$ space | ||
مراجع | ||
[1] R. F. Dickman, J. R. Porter, θ-perfect and θ-absolutely closed functions, IIlinois J. Math. 21 (1977), 42-60.
[2] G. Di Maio, Lj. D. R. Kocinac, Some covering properties of hyperspaces, Topology Appl. 155 (2008), 1959-1969.
[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.
[4] S. Fomin, Extensions of topological spaces, Ann. Math. 44 (1943), 471-480.
[5] S. Ganguly, S. Jana, R. Sen, A new hyperspace topology and the study of the function space θ∗-LC(X,Y), Mat. Vesnik. 61 (2009), 181-193.
[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.
[8] N. V. Velicko, H-closed topological spaces, Amer. Math. Trans. 78 (1968), 103-118. | ||
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