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arXiv · 2610.33506

On some bounds for cardinal invariants of the space of quasicontinuous functions with the topology of pointwise convergence

Mandeep Kumar·Brij Kishore Tyagi
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Abstract

In this paper, we obtain some bounds for cardinal invariants such as character, pseudocharacter, tightness, {L}indelöf number, hereditary {L}indelöf number, hereditary density and spread of $Q_p(X,Y)$, the space of all quasicontinuous functions from $X$ to $Y$ equipped with the topology of pointwise convergence. We prove that the tightness, hereditary {L}indelöf number, hereditary density and spread of the space $Q_p(\mathbb{R},\mathbb{R})$ are equal to the cardinality of $\mathbb{R}$.

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Mandeep Kumar, Brij Kishore Tyagi. 2026-10-24. On some bounds for cardinal invariants of the space of quasicontinuous functions with the topology of pointwise convergence. https://arxiv.org/abs/2610.33506

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