Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/4353
 Title: The $\pi$-weights and $\pi$-characters of hyperspaces with the hit-and-miss topologies Authors: Hou, Ji-Cheng Keywords: Hyperspace; hit-and-miss topology; $\pi$-weights; $\pi$-characters Issue Date: 1999 Publisher: Università degli Studi di Trieste. Dipartimento di Scienze Matematiche Source: Ji-Cheng Hou, "The $\pi$-weights and $\pi$-characters of hyperspaces with the hit-and-miss topologies", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 30 (1999), pp. 71-80. Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics30 (1999) Abstract: We prove that $\pi w\left(\Delta\left(x\right)\right)=\pi\chi\left(\Delta\left(x\right)\right)=\textrm{max}\left\{ \pi w\left(x\right),\tau k\left(\Delta\right)\right\}$ for the hit-and-miss topologies $\tau\Delta$ on the closed subsets of either a quasi-regular and $\mathbf{R}_{0}$ or $T_{1}$ space $\left(X,\tau\right)$, where $\tau k\left(\Delta\right)$ is a cardinal invariant associted with $\Delta$. URI: http://hdl.handle.net/10077/4353 ISSN: 0049-4704 Appears in Collections: Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics vol.30 (1999)

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