Networks on free topological groups

DOI10.1016/J.TOPOL.2014.11.016zbMath1309.54011OpenAlexW1972195567MaRDI QIDQ484290

Fucai Lin, Zhaowen Li, Chu-An Liu

Publication date: 6 January 2015

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

Full work available at URL: https://doi.org/10.1016/j.topol.2014.11.016

zbMATH Keywords

networks\(k\)-networkseparablediscretecountable tightness\(csf\)-countable\(snf\)-countable\(k\)-spacesfree topological groups\(\aleph_0\)-weakly first-countable

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Metric spaces, metrizability (54E35) Topological groups (topological aspects) (54H11) Stratifiable spaces, cosmic spaces, etc. (54E20)

Related Items (11)

Two weak forms of countability axioms in free topological groups ⋮ On the countable tightness and the \(k\)-property of free topological groups over generalized metrizable spaces ⋮ \textit{snf}-countability and \textit{csf}-countability in \(F_{4}(X)\) ⋮ Notes on countable tightness of the subspaces of free (abelian) topological groups ⋮ \(S_\omega\) and \(S_2\) on free topological groups ⋮ On local compactness of the subspace \(FP_{2}(X)\) of \(FP(X)\) ⋮ Some network-type properties of the space of G-permutation degree ⋮ Notes on free topological vector spaces ⋮ Countable tightness and \({\mathfrak{G}} \)-bases on free topological groups ⋮ Countable tightness and \(k\)-property of free topological vector spaces ⋮ An affirmative answer to Yamada's conjecture

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Free topological groups over metrizable spaces
• Intersection of topologies and metrizability in topological groups
• Topological groups and related structures
• Function spaces with a countable \(cs^*\)-network at a point
• Generalized metric spaces with algebraic structures
• Algebraic objects generated by topological structure
• Quasi- and weakly-quasi-first-countable spaces
• Point-countable \(k\)-networks, closed maps, and related results
• Topological groups with a certain point-countable cover
• A note on the Arens' space and sequential fan
• \(k^*\)-metrizable spaces and their applications
• Spaces determined by point-countable covers
• A note on closed images of locally compact metric spaces
• Metrizabillity of certain quotient space
• k-Spaces and Products of Closed Images of Metric Spaces
• Products of k-Spaces and Spaces of Countable Tightness
• FREE TOPOLOGICAL GROUPS OF METRIZABLE SPACES
• Products of Sequential Spaces
• Hereditarily Closure-Preserving Collections and Metrization
• Fréchet-Urysohn spaces in free topological groups
• Spaces in which sequences suffice
• MAPPINGS AND SPACES
• On Paracompactness in Function Spaces with the Compact-Open Topology
• A characterization of ℵ0-spaces

This page was built for publication: Networks on free topological groups