On \(\mathcal{I}\)-neighborhood spaces and \(\mathcal{I}\)-quotient spaces

DOI10.1007/s40840-020-01043-1zbMath1479.54008OpenAlexW3099103043MaRDI QIDQ2045237

Lin, Shou

Publication date: 12 August 2021

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-020-01043-1

zbMATH Keywords

ideal convergence\(\mathcal{I}_{sn}\)-continuous mapping\(\mathcal{I}_{sn}\)-open set\(\mathcal{I}_{sn}\)-quotient space\(\mathcal{I}\)-continuous mapping\(\mathcal{I}\)-neighborhood space\(\mathcal{I}\)-open set\(\mathcal{I}\)-quotient space\(\mathcal{I}\)-sequential space\(\mathcal{I}\)-topological space\(G\)-methodpreserving \(\mathcal{I}\)-convergence

Mathematics Subject Classification ID

Sequential spaces (54D55) Weak and generalized continuity (54C08) Topological spaces and generalizations (closure spaces, etc.) (54A05) Quotient spaces, decompositions in general topology (54B15) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

Related Items (2)

On a quotient \(S\)-set induced by countably infinite decreasing chains ⋮ \(\mathcal{I}_{sn}\)-sequential spaces and the images of metric spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Algebraically rigid simplicial complexes and graphs
• Generalized metric spaces and mappings. Translated from the Chinese by the first author
• \(G\)-methods, \(G\)-sequential spaces and \(G\)-continuity in topological spaces
• Asymptotic negative type properties of finite ultrametric spaces
• Relationship between ordered semihypergroups and ordered semigroups by using pseudoorder.
• Ideal-convergence classes
• Strongly transitive geometric spaces associated to hypermodules.
• On topological spaces defined by \(\mathcal{I} \)-convergence
• Enhanced negative type for finite metric trees
• Statistical convergence in topology
• Sequential definitions of continuity for real functions.
• \(\mathcal I\)-convergence
• Generalized topology, generalized continuity
• Certain aspects of ideal convergence in topological spaces
• Alexandroff topologies and monoid actions
• Some classes of abstract simplicial complexes motivated by module theory
• \(k^*\)-metrizable spaces and their applications
• Set relations and set systems induced by some families of integral domains
• Notes on pseudo-open mappings and sequentially quotient mappings
• Nilpotent groups derived from hypergroups.
• On closed invariant sets in local dynamics
• Ideal quasi-normal convergence and related notions
• $I$ and $I^*$-convergence in topological spaces
• Sequentially quotient mappings
• Ideal convergence of bounded sequences
• MAPPINGS AND SPACES

This page was built for publication: On \(\mathcal{I}\)-neighborhood spaces and \(\mathcal{I}\)-quotient spaces