Locally compact groups approximable by subgroups isomorphic to Z or R
Sign Up to like & getrecommendations! Published in 2017 at "Topology and its Applications"
DOI: 10.1016/j.topol.2016.11.005
Abstract: Abstract Let G be a locally compact topological group, G 0 the connected component of its identity element, and comp ( G ) the union of all compact subgroups. A topological group will be called… read more here.
Keywords: topological group; locally compact; topology; compact groups ... See more keywords
Some properties of topological groups related to compactness
Sign Up to like & getrecommendations! Published in 2017 at "Topology and its Applications"
DOI: 10.1016/j.topol.2017.02.039
Abstract: Abstract In the present article four problems from the A.V. Arhangel'skii and M.G. Tkachenko's book [8] are examined. Theorem 2.5 affirms that for any uncountable cardinal τ there exists a zero-dimensional hereditarily paracompact non-metrizable Abelian… read more here.
Keywords: groups related; topological groups; topological group; properties topological ... See more keywords
Cardinal invariants of coset spaces
Sign Up to like & getrecommendations! Published in 2021 at "Topology and its Applications"
DOI: 10.1016/j.topol.2021.107735
Abstract: Abstract A topological space X is called a coset space if X is homeomorphic to a quotient space G / H of left cosets, for some closed subgroup H of a topological group G. In… read more here.
Keywords: invariants coset; topological group; cardinal invariants; coset spaces ... See more keywords