A new approach in topology via elements of an ideal

DOI10.12697/ACUTM.2019.23.09zbMath1430.54002MaRDI QIDQ5205432

Erdal Ekici

Publication date: 11 December 2019

Published in: Acta et Commentationes Universitatis Tartuensis de Mathematica (Search for Journal in Brave)

zbMATH Keywords

ideal\( \alpha \)-open\( \alpha_I^\star\)-open\( \alpha\)-\(I\)-open\( \alpha^\star_I \)-closed\(\star\)-continuous\(\star\)-dense

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10)

Related Items (1)

Some generalized continuous maps via ideal

Cites Work

• Decompositions of continuity, \(\alpha \)-continuity and \(\mathcal A\mathcal C\)-continuity
• Generalized hyperconnectedness
• Generalization of weakly clopen and strongly \(\theta\)-\(b\)-continuous functions
• On \(\mathcal C^*\)-sets and decompositions of continuous and \(\eta\zeta\)-continuous functions
• \(\star\)-extremally disconnected ideal topological spaces
• Ideal resolvability
• On decompositions of continuity via idealization
• On weak structures due to Császár
• Generalized open sets in generalized topologies
• New Topologies from Old via Ideals
• Remarks on locally closed set
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