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PreprintCC BY 4.0arXiv

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 Qp(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 Qp(ℝ,ℝ) are equal to the cardinality of ℝ.

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Cite

BibTeXRIS
BibTeX
@misc{kumar2026some,
  title = {{On some bounds for cardinal invariants of the space of quasicontinuous functions with the topology of pointwise convergence}},
  author = {Mandeep Kumar and Brij Kishore Tyagi},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.33506},
  eprint = {2610.33506},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.33506},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - On some bounds for cardinal invariants of the space of quasicontinuous functions with the topology of pointwise convergence
AU  - Mandeep Kumar
AU  - Brij Kishore Tyagi
PY  - 2026
DA  - 2026/10/24
PB  - arXiv
DO  - 10.48550/arxiv.2610.33506
UR  - https://arxiv.org/abs/2610.33506
AB  - 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(ℝ,ℝ) are equal to the cardinality of ℝ.
ER  -