ON SOME CONVERGENCE PROPERTIES OF HYPERSPACES WITH HIT-AND-MISS TOPOLOGY

Ritu Sen

DOI Number
https://doi.org/10.22190/FUMI220926070S
First page
1021
Last page
1035

Abstract


In this paper the relationships between closure type properties of hyperspaces over a space $X$ with that of covering properties of $X$ are being investigated. Our main focus here is to study $\alpha_{_{i}}$-properties of $X$ and that of hyperspaces with hit-and-miss topology. Also some weak forms of Fr\'{e}chet Urysohn property have been investigated in the hyperspace $(\Lambda,\tau_{\Delta}^+)$.

Keywords

hyperspace, topology, Frechet Urysohn property

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References


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DOI: https://doi.org/10.22190/FUMI220926070S

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