On topological ultraproducts
Copyright policy )On topological ultraproducts
Summary: \textit{P. Bankston} [General Topology Appl. 7, 283--308 (1977; Zbl 0364.54005)] investigated ultraproducts of topological spaces and asked when the quotient mapping \(q:\square X_{\alpha } \rightarrow \square_{{\mathcal U} } X_{\alpha } \) is closed. An answer for a wide class of spaces containing sequential Hausdorff spaces and Hausdorff spaces of cardinality \(\leq {\mathfrak c} \) is obtained by \textit{M. S. Kurilić} [Topol. Appl. 87, 89--95 (1998; Zbl 0946.54008)]. Here we consider some classes of spaces that are not observed in the above mentioned paper.
Special maps on topological spaces (open, closed, perfect, etc.), closed mappings, Quotient spaces, decompositions in general topology, topological ultraproducts, Product spaces in general topology, quotient mappings
Special maps on topological spaces (open, closed, perfect, etc.), closed mappings, Quotient spaces, decompositions in general topology, topological ultraproducts, Product spaces in general topology, quotient mappings
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