On good connected preimages

DOI10.1016/S0166-8641(01)00294-2zbMath1019.54008MaRDI QIDQ1862104

Alessandro Fedeli, Attilio Le Donne

Publication date: 10 March 2003

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

metric spacequotient mappingpreimagesequentially connectedconnected spacequotient imagefiner connected topology

Mathematics Subject Classification ID

Continuous maps (54C05) Metric spaces, metrizability (54E35) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Sequential spaces (54D55) Connected and locally connected spaces (general aspects) (54D05)

Related Items (9)

On sequentially $g$-connected components and sequentially locally $g$-connectedness ⋮ Sequentially Hausdorff and full sequentially Hausdorff spaces ⋮ \( \mathcal{I} \)-connected spaces and the images of metric spaces ⋮ Sequential definitions of connectedness ⋮ Unnamed Item ⋮ Product methods and \(G\)-connectedness ⋮ The extensions of some convergence phenomena in topological groups ⋮ Well-posedness of constrained minimization problems via saddle-points ⋮ Extensions of some topological properties in topological gyrogroups

Cites Work

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• FULLY CLOSED MAPPINGS AND THE CONSISTENCY OF SOME THEOREMS OF GENERAL TOPOLOGY WITH THE AXIOMS OF SET THEORY
• On Compact Hausdorff Spaces of Countable Tightness
• When do connected spaces have nice connected preimages?
• Neither first countable nor Cech-complete spaces are maximal Tychonoff connected
• Spaces in which sequences suffice

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