On some properties of the hyperspace $\theta (X)$ and the study of the space $\downarrow\theta C(X)$

Subject Areas : General topology

R.  Sen ¹ (Department of Mathematics, Presidency University, 86/1 College Street, Kolkata, India)

Received: 2019-12-19 Accepted : 2020-06-22 Published : 2020-09-01

Keywords: ‎H-closed space‎, ‎H-set‎, $theta$-closed set‎, ‎locally $theta$-$H$ space,

Abstract :

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 $\theta (X\times \mathbb I)$.

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