Modification of generalized topologies via hereditary classes

DOI10.1007/s10474-006-0531-9zbMath1135.54300OpenAlexW2053750445MaRDI QIDQ2460638

Ákos Császár

Publication date: 12 November 2007

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

Full work available at URL: https://doi.org/10.1007/s10474-006-0531-9

zbMATH Keywords

hereditary classgeneralized topologyrare set\(\alpha-\mathcal H\)-set\(\beta-\mathcal H\)-set\(\beta^*-\mathcal H\)-set\(\delta-\mathcal H\)-set\(\pi-\mathcal H\)-set\(\sigma-\mathcal H\)-setbase for a generalized topologycodense classstrongly codense class

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 (36)

Properties of theta-H-compact sets in hereditary m-spaces ⋮ Regularity and normality in hereditary bi \(m\)-spaces ⋮ Generalized topological spaces induced by monotonic maps and hereditary classes ⋮ \(g\)-compactness like properties in generalized topological spaces ⋮ Compatible hereditary classes in GTS ⋮ On \(\psi_\mathcal{H} (.)\)-operator in weak structure spaces with hereditary classes ⋮ Unnamed Item ⋮ Generalizations of Lindelöf spaces via hereditary classes ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unified theory of the kernel of a set via hereditary classes and generalized topologies ⋮ Modification of weak structures via hereditary classes ⋮ Two Forms of Pairwise Lindelöfness and Some Results Related to Hereditary Class in a Bigeneralized Topological Space ⋮ \(\zeta_{\mu}\)-sets in generalized topological spaces ⋮ Unnamed Item ⋮ On soft weak structures ⋮ Generalized quotient topologies and hereditary classes ⋮ CONTINUITY ON GENERALISED TOPOLOGICAL SPACES VIA HEREDITARY CLASSES ⋮ On upper and lower \(\beta(\mu_X, \mu_Y)\)-continuous multifunctions ⋮ Birelator Spaces Are Natural Generalizations of Not Only Bitopological Spaces, But Also Ideal Topological Spaces ⋮ Unnamed Item ⋮ Functions and wν-Lindelöf with respect to a hereditary class ⋮ Strong forms of \(\mu\)-Lindelöfness with respect to hereditary classes ⋮ Characterizations of upper and lower \alpha(\mu_X,\mu_Y)-continuous multifunctions ⋮ SOFT WEAK BAIRE SPACES ⋮ New forms of strong weakly $\mu$-compact in terms of hereditary classes ⋮ \(\mu\)-paracompactness via hereditary classes ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ \(_{\gamma \mu} \mathcal{H}\)-compactness in GTS ⋮ Product of the generalized topologies ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A GT generated by a family of maps

Cites Work

• Unnamed Item
• A note on \(\delta-\mathcal I\)-sets
• Generalized open sets
• Generalized topology, generalized continuity
• On \(\delta-I\)-open sets and decomposition of \(\alpha-I\)-continuity
• Generalized open sets in generalized topologies
• New Topologies from Old via Ideals

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