Cardinal invariants and special maps of quasicontinuous functions with the topology of pointwise convergence




Quasicontinuous functions, Topology of pointwise convergence, Character, Density, Weight, Cellularity, Spread, Induced map, Restriction map


For topological spaces X and Y, let Qp(X,Y) be the space of all quasicontinuous functions from X to Y with the topology of pointwise convergence. In this paper, we study the cardinal invariants such as cellularity, character, weight, density, pseudocharacter and spread of the space Qp(X,Y). We also discuss the properties of the restriction and induced maps related to the space Qp(X,Y).


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Author Biographies

Mandeep Kumar, University of Delhi

Department of Mathematics

Brij Kishore Tyagi, University of Delhi

Department of Mathematics, Atmaram Sanatan Dharma College


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How to Cite

M. Kumar and B. K. Tyagi, “Cardinal invariants and special maps of quasicontinuous functions with the topology of pointwise convergence”, Appl. Gen. Topol., vol. 23, no. 2, pp. 303–314, Oct. 2022.



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