Predecessors and successors of the Euclidean topology on a subgroup of \(\mathrm{GL}(2,\mathbb{R})\)
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Publication:2664095
DOI10.1016/J.TOPOL.2021.107668OpenAlexW3136875755WikidataQ114128050 ScholiaQ114128050MaRDI QIDQ2664095
Zhiqiang Xiao, Wei He, De Kui Peng
Publication date: 20 April 2021
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.topol.2021.107668
Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Consistency and independence results in general topology (54A35)
Cites Work
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- On topologizable and non-topologizable groups
- Adjacency in subposets of the lattice of \(T_1\)-topologies on a set
- Topological groups and related structures
- Basic intervals in the lattice of topologies
- Examples of locally compact non-compact minimal topological groups
- Categorically compact topological groups
- The \(\tau\)-precompact Hausdorff group reflection of topological groups
- Finite intervals in the partial orders of zero-dimensional, Tychonoff and regular topologies
- Gaps in lattices of (para)topological group topologies and cardinal functions
- Predecessors of topologies of LCA groups
- Gaps in the lattices of topological group topologies
- Which topologies can have immediate successors in the lattice of T1-topologies?
- Successors of locally compact topological group topologies on abelian groups
- Covering Relations in the Lattice of T 1 -Topologies
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