A categorical approach to largest and smallest connectednesses and disconnectednesses

DOI10.1007/BF01974105zbMath0546.18006OpenAlexW2094576843MaRDI QIDQ798413

Stefan Veldsman

Publication date: 1984

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01974105

zbMATH Keywords

connectednessdisconnectednesssemisimple classcohereditary disconnectednesseshereditary connectednessesproper radical classregular classessimply discretesimply indiscrete

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Categorical methods in general topology (54B30) Connected and locally connected spaces (general aspects) (54D05) Graph theory (05C99) Graphs, diagram schemes, precategories (18A10) Topological categories, foundations of homotopy theory (55U40) Radicals and radical properties of associative rings (16Nxx)

Related Items (2)

Hereditary torsion theories for graphs ⋮ Congruences on topological spaces with an application to radical theory

Cites Work

• Unnamed Item
• Injectives and simple objects
• Connectednesses and disconnectednesses of graphs
• COMPONENT SUBCATEGORIES
• RADICAL AND SEMISIMPLE CLASSES IN CATEGORIES
• A condition in general radical theory and its meaning for rings, topological spaces and graphs
• Connectednesses and disconnectednesses in topology
• On the characterization of radical and semisimple classes in categories

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