On some bounds for cardinal invariants of the space of quasicontinuous functions with the topology of pointwise convergence
Year: 2026
Type: preprint
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 $\mathbb{R}$.
Source: arXiv (Cornell University)
Authors: Kumar, Mandeep, Tyagi, Brij Kishore
Institutions: University of Delhi, Delhi Technological University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223912199