Cardinal functions and mappings associated with the space of quasi-continuous functions equipped with topology of point-wise convergence
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| Format: | Preprint |
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2024
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| _version_ | 1866913595432894464 |
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| author | Mishra, Sanjay Bishnoi, Chander Mohan |
| author_facet | Mishra, Sanjay Bishnoi, Chander Mohan |
| contents | Cardinal functions provide valuable insight into the topological properties of spaces, helping to analyze and compare spaces in terms of their covering, convergence and separation properties. This paper focuses on investigating cardinal functions like network weight, Lindelöf degree, tightness, weak covering, pseudocharacter, and $i$-weight, for the spaces $Q_{P}(X)$ and $Q_{P}(X,Y)$ of quasi-continuous functions under the topology of point-wise convergence. In addition to these, we also investigate properties of restriction and induced maps associated with the spaces $Q_{P}(X)$ and $Q_{P}(X,Y)$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_02188 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cardinal functions and mappings associated with the space of quasi-continuous functions equipped with topology of point-wise convergence Mishra, Sanjay Bishnoi, Chander Mohan General Topology 54C35, 54A25, 54C05, and 54C10 Cardinal functions provide valuable insight into the topological properties of spaces, helping to analyze and compare spaces in terms of their covering, convergence and separation properties. This paper focuses on investigating cardinal functions like network weight, Lindelöf degree, tightness, weak covering, pseudocharacter, and $i$-weight, for the spaces $Q_{P}(X)$ and $Q_{P}(X,Y)$ of quasi-continuous functions under the topology of point-wise convergence. In addition to these, we also investigate properties of restriction and induced maps associated with the spaces $Q_{P}(X)$ and $Q_{P}(X,Y)$. |
| title | Cardinal functions and mappings associated with the space of quasi-continuous functions equipped with topology of point-wise convergence |
| topic | General Topology 54C35, 54A25, 54C05, and 54C10 |
| url | https://arxiv.org/abs/2412.02188 |