A new hyperspace topology and the study of the function space $\theta^*$-$LC(X,Y)$

S. Ganguly; Sandip Jana; Ritu Sen

Authors

S. Ganguly Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata-700019, INDIA Author
Sandip Jana Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata-700019, INDIA Author
Ritu Sen Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata-700019, INDIA Author

Keywords:

θ

-closed set,

H

-closed space,

H

-set,

θ

-partially ordered space,

θ^{*}

-lower semicontinuous functions, multifunctions

Subjects:

54B20, 54C35

Abstract

The intent of this paper is to introduce a newhyperspace topology on the collection of all $θ$ -closed subsetsof a topological space. The space of all $θ^{*}$ -lowersemicontinuous functions has been studied in detail and finally wedeal with some multifunctions.

A new hyperspace topology and the study of the function space $θ^{*}$ - $L C (X, Y)$

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A new hyperspace topology and the study of the function space θ∗-LC(X,Y)

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A new hyperspace topology and the study of the function space $θ^{*}$ - $L C (X, Y)$