Geodesic
Mapping theorems on $\aleph$-spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 49 (2008) no. 1, pp. 163-167

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In this paper we improve some mapping theorems on $\aleph$-spaces. For instance we show that an $\aleph$-space is preserved by a closed and countably bi-quotient map. This is an improvement of Yun Ziqiu's theorem: an $\aleph$-space is preserved by a closed and open map.
Classification : 54C10, 54E18
Keywords: $\aleph$-space; $k$-network; closed map; countably bi-quotient map 
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Sakai, Masami. Mapping theorems on $\aleph$-spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 49 (2008) no. 1, pp. 163-167. http://geodesic.mathdoc.fr/item/CMUC_2008__49_1_a15/